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Finding the Fourth Proportional to 514,834.92, 709,684.64 and 361,442.80

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Solution

The fourth proportional to 514,834.92, 709,684.64 and 361,442.80 is: 498,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,834.92 : 709,684.64 = 361,442.80 : x
  2. Step 2: Convert to fraction form
    514,834.92/709,684.64 = 361,442.80/x
  3. Step 3: Cross multiply
    514,834.92x = 709,684.64 × 361,442.80
  4. Step 4: Simplify right side
    514,834.92x = 256,510,403,398.59
  5. Step 5: Solve for x
    x = 256,510,403,398.59/514,834.92
  6. Step 6: Final answer
    x = 498,238.16

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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.