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Finding the Fourth Proportional to 514,838.92, 709,690.16 and 361,446.80

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Solution

The fourth proportional to 514,838.92, 709,690.16 and 361,446.80 is: 498,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,838.92 : 709,690.16 = 361,446.80 : x
  2. Step 2: Convert to fraction form
    514,838.92/709,690.16 = 361,446.80/x
  3. Step 3: Cross multiply
    514,838.92x = 709,690.16 × 361,446.80
  4. Step 4: Simplify right side
    514,838.92x = 256,515,237,323.49
  5. Step 5: Solve for x
    x = 256,515,237,323.49/514,838.92
  6. Step 6: Final answer
    x = 498,243.68

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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.