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Finding the Fourth Proportional to 542,516.41, 748,581.64 and 361,498.69

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Solution

The fourth proportional to 542,516.41, 748,581.64 and 361,498.69 is: 498,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,516.41 : 748,581.64 = 361,498.69 : x
  2. Step 2: Convert to fraction form
    542,516.41/748,581.64 = 361,498.69/x
  3. Step 3: Cross multiply
    542,516.41x = 748,581.64 × 361,498.69
  4. Step 4: Simplify right side
    542,516.41x = 270,611,282,218.05
  5. Step 5: Solve for x
    x = 270,611,282,218.05/542,516.41
  6. Step 6: Final answer
    x = 498,807.55

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Double scale
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1.5x scale

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.