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Finding the Fourth Proportional to 407,124.91, 610,493.28 and 182,487.25

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Solution

The fourth proportional to 407,124.91, 610,493.28 and 182,487.25 is: 273,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,124.91 : 610,493.28 = 182,487.25 : x
  2. Step 2: Convert to fraction form
    407,124.91/610,493.28 = 182,487.25/x
  3. Step 3: Cross multiply
    407,124.91x = 610,493.28 × 182,487.25
  4. Step 4: Simplify right side
    407,124.91x = 111,407,239,810.68
  5. Step 5: Solve for x
    x = 111,407,239,810.68/407,124.91
  6. Step 6: Final answer
    x = 273,643.88

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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.