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Finding the Fourth Proportional to 517,952.68, 775,895.66 and 411,516.86

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Solution

The fourth proportional to 517,952.68, 775,895.66 and 411,516.86 is: 616,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,952.68 : 775,895.66 = 411,516.86 : x
  2. Step 2: Convert to fraction form
    517,952.68/775,895.66 = 411,516.86/x
  3. Step 3: Cross multiply
    517,952.68x = 775,895.66 × 411,516.86
  4. Step 4: Simplify right side
    517,952.68x = 319,294,141,296.95
  5. Step 5: Solve for x
    x = 319,294,141,296.95/517,952.68
  6. Step 6: Final answer
    x = 616,454.27

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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.