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Finding the Fourth Proportional to 541,177.62, 811,526.46 and 288,411

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Solution

The fourth proportional to 541,177.62, 811,526.46 and 288,411 is: 432,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,177.62 : 811,526.46 = 288,411 : x
  2. Step 2: Convert to fraction form
    541,177.62/811,526.46 = 288,411/x
  3. Step 3: Cross multiply
    541,177.62x = 811,526.46 × 288,411
  4. Step 4: Simplify right side
    541,177.62x = 234,053,157,855.06
  5. Step 5: Solve for x
    x = 234,053,157,855.06/541,177.62
  6. Step 6: Final answer
    x = 432,488.61

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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.