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Finding the Fourth Proportional to 410,429.20, 616,022.24 and 208,167.26

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Solution

The fourth proportional to 410,429.20, 616,022.24 and 208,167.26 is: 312,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,429.20 : 616,022.24 = 208,167.26 : x
  2. Step 2: Convert to fraction form
    410,429.20/616,022.24 = 208,167.26/x
  3. Step 3: Cross multiply
    410,429.20x = 616,022.24 × 208,167.26
  4. Step 4: Simplify right side
    410,429.20x = 128,235,657,678.92
  5. Step 5: Solve for x
    x = 128,235,657,678.92/410,429.20
  6. Step 6: Final answer
    x = 312,442.82

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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.