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Finding the Fourth Proportional to 822,007, 1,233,010.50 and 231,031

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Solution

The fourth proportional to 822,007, 1,233,010.50 and 231,031 is: 346,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,007 : 1,233,010.50 = 231,031 : x
  2. Step 2: Convert to fraction form
    822,007/1,233,010.50 = 231,031/x
  3. Step 3: Cross multiply
    822,007x = 1,233,010.50 × 231,031
  4. Step 4: Simplify right side
    822,007x = 284,863,648,825.50
  5. Step 5: Solve for x
    x = 284,863,648,825.50/822,007
  6. Step 6: Final answer
    x = 346,546.50

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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.