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Finding the Fourth Proportional to 322,047.20, 482,335.02 and 153,685.74

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Solution

The fourth proportional to 322,047.20, 482,335.02 and 153,685.74 is: 230,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,047.20 : 482,335.02 = 153,685.74 : x
  2. Step 2: Convert to fraction form
    322,047.20/482,335.02 = 153,685.74/x
  3. Step 3: Cross multiply
    322,047.20x = 482,335.02 × 153,685.74
  4. Step 4: Simplify right side
    322,047.20x = 74,128,014,476.61
  5. Step 5: Solve for x
    x = 74,128,014,476.61/322,047.20
  6. Step 6: Final answer
    x = 230,177.48

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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.