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Finding the Fourth Proportional to 398,335.69, 597,562.47 and 132,037.47

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Solution

The fourth proportional to 398,335.69, 597,562.47 and 132,037.47 is: 198,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,335.69 : 597,562.47 = 132,037.47 : x
  2. Step 2: Convert to fraction form
    398,335.69/597,562.47 = 132,037.47/x
  3. Step 3: Cross multiply
    398,335.69x = 597,562.47 × 132,037.47
  4. Step 4: Simplify right side
    398,335.69x = 78,900,636,705.75
  5. Step 5: Solve for x
    x = 78,900,636,705.75/398,335.69
  6. Step 6: Final answer
    x = 198,075.74

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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.