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Finding the Fourth Proportional to 461,060.64, 691,902.36 and 161,543.52

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Solution

The fourth proportional to 461,060.64, 691,902.36 and 161,543.52 is: 242,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,060.64 : 691,902.36 = 161,543.52 : x
  2. Step 2: Convert to fraction form
    461,060.64/691,902.36 = 161,543.52/x
  3. Step 3: Cross multiply
    461,060.64x = 691,902.36 × 161,543.52
  4. Step 4: Simplify right side
    461,060.64x = 111,772,342,730.71
  5. Step 5: Solve for x
    x = 111,772,342,730.71/461,060.64
  6. Step 6: Final answer
    x = 242,424.39

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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.