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Finding the Fourth Proportional to 541,176.62, 811,524.97 and 288,410

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Solution

The fourth proportional to 541,176.62, 811,524.97 and 288,410 is: 432,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,176.62 : 811,524.97 = 288,410 : x
  2. Step 2: Convert to fraction form
    541,176.62/811,524.97 = 288,410/x
  3. Step 3: Cross multiply
    541,176.62x = 811,524.97 × 288,410
  4. Step 4: Simplify right side
    541,176.62x = 234,051,916,597.70
  5. Step 5: Solve for x
    x = 234,051,916,597.70/541,176.62
  6. Step 6: Final answer
    x = 432,487.12

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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.