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Finding the Fourth Proportional to 487,105.70, 730,658.55 and 410,123.30

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Solution

The fourth proportional to 487,105.70, 730,658.55 and 410,123.30 is: 615,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,105.70 : 730,658.55 = 410,123.30 : x
  2. Step 2: Convert to fraction form
    487,105.70/730,658.55 = 410,123.30/x
  3. Step 3: Cross multiply
    487,105.70x = 730,658.55 × 410,123.30
  4. Step 4: Simplify right side
    487,105.70x = 299,660,095,699.22
  5. Step 5: Solve for x
    x = 299,660,095,699.22/487,105.70
  6. Step 6: Final answer
    x = 615,184.95

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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.