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Finding the Fourth Proportional to 308,372.42, 462,978.29 and 173,531.76

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Solution

The fourth proportional to 308,372.42, 462,978.29 and 173,531.76 is: 260,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,372.42 : 462,978.29 = 173,531.76 : x
  2. Step 2: Convert to fraction form
    308,372.42/462,978.29 = 173,531.76/x
  3. Step 3: Cross multiply
    308,372.42x = 462,978.29 × 173,531.76
  4. Step 4: Simplify right side
    308,372.42x = 80,341,436,637.83
  5. Step 5: Solve for x
    x = 80,341,436,637.83/308,372.42
  6. Step 6: Final answer
    x = 260,533.79

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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.