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Finding the Fourth Proportional to 415,201.40, 622,802.10 and 411,264.80

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Solution

The fourth proportional to 415,201.40, 622,802.10 and 411,264.80 is: 616,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,201.40 : 622,802.10 = 411,264.80 : x
  2. Step 2: Convert to fraction form
    415,201.40/622,802.10 = 411,264.80/x
  3. Step 3: Cross multiply
    415,201.40x = 622,802.10 × 411,264.80
  4. Step 4: Simplify right side
    415,201.40x = 256,136,581,096.08
  5. Step 5: Solve for x
    x = 256,136,581,096.08/415,201.40
  6. Step 6: Final answer
    x = 616,897.20

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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.