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Finding the Fourth Proportional to 513,780.18, 708,548.28 and 441,160.38

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Solution

The fourth proportional to 513,780.18, 708,548.28 and 441,160.38 is: 608,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,780.18 : 708,548.28 = 441,160.38 : x
  2. Step 2: Convert to fraction form
    513,780.18/708,548.28 = 441,160.38/x
  3. Step 3: Cross multiply
    513,780.18x = 708,548.28 × 441,160.38
  4. Step 4: Simplify right side
    513,780.18x = 312,583,428,453.15
  5. Step 5: Solve for x
    x = 312,583,428,453.15/513,780.18
  6. Step 6: Final answer
    x = 608,399.16

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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.