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Finding the Fourth Proportional to 517,776.60, 775,777.95 and 411,488.40

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Solution

The fourth proportional to 517,776.60, 775,777.95 and 411,488.40 is: 616,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,776.60 : 775,777.95 = 411,488.40 : x
  2. Step 2: Convert to fraction form
    517,776.60/775,777.95 = 411,488.40/x
  3. Step 3: Cross multiply
    517,776.60x = 775,777.95 × 411,488.40
  4. Step 4: Simplify right side
    517,776.60x = 319,223,627,400.78
  5. Step 5: Solve for x
    x = 319,223,627,400.78/517,776.60
  6. Step 6: Final answer
    x = 616,527.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.