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Finding the Fourth Proportional to 398,363.72, 597,543.95 and 161,704.40

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Solution

The fourth proportional to 398,363.72, 597,543.95 and 161,704.40 is: 242,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,363.72 : 597,543.95 = 161,704.40 : x
  2. Step 2: Convert to fraction form
    398,363.72/597,543.95 = 161,704.40/x
  3. Step 3: Cross multiply
    398,363.72x = 597,543.95 × 161,704.40
  4. Step 4: Simplify right side
    398,363.72x = 96,625,482,112.14
  5. Step 5: Solve for x
    x = 96,625,482,112.14/398,363.72
  6. Step 6: Final answer
    x = 242,555.93

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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.