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Finding the Fourth Proportional to 411,579.20, 616,447.20 and 337,851.20

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Solution

The fourth proportional to 411,579.20, 616,447.20 and 337,851.20 is: 506,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,579.20 : 616,447.20 = 337,851.20 : x
  2. Step 2: Convert to fraction form
    411,579.20/616,447.20 = 337,851.20/x
  3. Step 3: Cross multiply
    411,579.20x = 616,447.20 × 337,851.20
  4. Step 4: Simplify right side
    411,579.20x = 208,267,426,256.64
  5. Step 5: Solve for x
    x = 208,267,426,256.64/411,579.20
  6. Step 6: Final answer
    x = 506,020.29

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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.