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Finding the Fourth Proportional to 467,053.92, 699,863.76 and 314,683.20

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Solution

The fourth proportional to 467,053.92, 699,863.76 and 314,683.20 is: 471,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,053.92 : 699,863.76 = 314,683.20 : x
  2. Step 2: Convert to fraction form
    467,053.92/699,863.76 = 314,683.20/x
  3. Step 3: Cross multiply
    467,053.92x = 699,863.76 × 314,683.20
  4. Step 4: Simplify right side
    467,053.92x = 220,235,367,560.83
  5. Step 5: Solve for x
    x = 220,235,367,560.83/467,053.92
  6. Step 6: Final answer
    x = 471,541.63

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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.