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Finding the Fourth Proportional to 514,377.14, 772,751.55 and 493,119.86

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Solution

The fourth proportional to 514,377.14, 772,751.55 and 493,119.86 is: 740,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,377.14 : 772,751.55 = 493,119.86 : x
  2. Step 2: Convert to fraction form
    514,377.14/772,751.55 = 493,119.86/x
  3. Step 3: Cross multiply
    514,377.14x = 772,751.55 × 493,119.86
  4. Step 4: Simplify right side
    514,377.14x = 381,059,136,150.78
  5. Step 5: Solve for x
    x = 381,059,136,150.78/514,377.14
  6. Step 6: Final answer
    x = 740,816.62

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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.