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Finding the Fourth Proportional to 546,795.28, 820,377.72 and 344,543.44

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Solution

The fourth proportional to 546,795.28, 820,377.72 and 344,543.44 is: 516,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,795.28 : 820,377.72 = 344,543.44 : x
  2. Step 2: Convert to fraction form
    546,795.28/820,377.72 = 344,543.44/x
  3. Step 3: Cross multiply
    546,795.28x = 820,377.72 × 344,543.44
  4. Step 4: Simplify right side
    546,795.28x = 282,655,761,748.16
  5. Step 5: Solve for x
    x = 282,655,761,748.16/546,795.28
  6. Step 6: Final answer
    x = 516,931.61

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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.