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Finding the Fourth Proportional to 541,218.52, 811,587.78 and 288,451.90

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Solution

The fourth proportional to 541,218.52, 811,587.78 and 288,451.90 is: 432,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,218.52 : 811,587.78 = 288,451.90 : x
  2. Step 2: Convert to fraction form
    541,218.52/811,587.78 = 288,451.90/x
  3. Step 3: Cross multiply
    541,218.52x = 811,587.78 × 288,451.90
  4. Step 4: Simplify right side
    541,218.52x = 234,104,037,157.78
  5. Step 5: Solve for x
    x = 234,104,037,157.78/541,218.52
  6. Step 6: Final answer
    x = 432,549.94

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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.