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Finding the Fourth Proportional to 827,095.10, 1,241,809.05 and 512,167.10

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Solution

The fourth proportional to 827,095.10, 1,241,809.05 and 512,167.10 is: 768,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,095.10 : 1,241,809.05 = 512,167.10 : x
  2. Step 2: Convert to fraction form
    827,095.10/1,241,809.05 = 512,167.10/x
  3. Step 3: Cross multiply
    827,095.10x = 1,241,809.05 × 512,167.10
  4. Step 4: Simplify right side
    827,095.10x = 636,013,739,892.26
  5. Step 5: Solve for x
    x = 636,013,739,892.26/827,095.10
  6. Step 6: Final answer
    x = 768,972.93

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Double scale
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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.