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Finding the Fourth Proportional to 822,001, 1,233,001.50 and 231,025

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Solution

The fourth proportional to 822,001, 1,233,001.50 and 231,025 is: 346,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,001 : 1,233,001.50 = 231,025 : x
  2. Step 2: Convert to fraction form
    822,001/1,233,001.50 = 231,025/x
  3. Step 3: Cross multiply
    822,001x = 1,233,001.50 × 231,025
  4. Step 4: Simplify right side
    822,001x = 284,854,171,537.50
  5. Step 5: Solve for x
    x = 284,854,171,537.50/822,001
  6. Step 6: Final answer
    x = 346,537.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.