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Finding the Fourth Proportional to 469,906.13, 648,464.16 and 255,044.30

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Solution

The fourth proportional to 469,906.13, 648,464.16 and 255,044.30 is: 351,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,906.13 : 648,464.16 = 255,044.30 : x
  2. Step 2: Convert to fraction form
    469,906.13/648,464.16 = 255,044.30/x
  3. Step 3: Cross multiply
    469,906.13x = 648,464.16 × 255,044.30
  4. Step 4: Simplify right side
    469,906.13x = 165,387,087,762.29
  5. Step 5: Solve for x
    x = 165,387,087,762.29/469,906.13
  6. Step 6: Final answer
    x = 351,957.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.