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Finding the Fourth Proportional to 513,781.18, 708,549.66 and 441,161.38

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Solution

The fourth proportional to 513,781.18, 708,549.66 and 441,161.38 is: 608,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,781.18 : 708,549.66 = 441,161.38 : x
  2. Step 2: Convert to fraction form
    513,781.18/708,549.66 = 441,161.38/x
  3. Step 3: Cross multiply
    513,781.18x = 708,549.66 × 441,161.38
  4. Step 4: Simplify right side
    513,781.18x = 312,584,745,804.13
  5. Step 5: Solve for x
    x = 312,584,745,804.13/513,781.18
  6. Step 6: Final answer
    x = 608,400.54

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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.