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Finding the Fourth Proportional to 514,819.62, 710,029.87 and 362,362.50

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Solution

The fourth proportional to 514,819.62, 710,029.87 and 362,362.50 is: 499,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,819.62 : 710,029.87 = 362,362.50 : x
  2. Step 2: Convert to fraction form
    514,819.62/710,029.87 = 362,362.50/x
  3. Step 3: Cross multiply
    514,819.62x = 710,029.87 × 362,362.50
  4. Step 4: Simplify right side
    514,819.62x = 257,288,197,861.97
  5. Step 5: Solve for x
    x = 257,288,197,861.97/514,819.62
  6. Step 6: Final answer
    x = 499,763.78

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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.