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Finding the Fourth Proportional to 386,965.74, 580,224.42 and 150,031.02

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Solution

The fourth proportional to 386,965.74, 580,224.42 and 150,031.02 is: 224,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,965.74 : 580,224.42 = 150,031.02 : x
  2. Step 2: Convert to fraction form
    386,965.74/580,224.42 = 150,031.02/x
  3. Step 3: Cross multiply
    386,965.74x = 580,224.42 × 150,031.02
  4. Step 4: Simplify right side
    386,965.74x = 87,051,661,561.51
  5. Step 5: Solve for x
    x = 87,051,661,561.51/386,965.74
  6. Step 6: Final answer
    x = 224,959.61

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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.