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Finding the Fourth Proportional to 522,340.68, 784,429.52 and 514,861.14

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Solution

The fourth proportional to 522,340.68, 784,429.52 and 514,861.14 is: 773,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,340.68 : 784,429.52 = 514,861.14 : x
  2. Step 2: Convert to fraction form
    522,340.68/784,429.52 = 514,861.14/x
  3. Step 3: Cross multiply
    522,340.68x = 784,429.52 × 514,861.14
  4. Step 4: Simplify right side
    522,340.68x = 403,872,274,342.55
  5. Step 5: Solve for x
    x = 403,872,274,342.55/522,340.68
  6. Step 6: Final answer
    x = 773,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.