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Finding the Fourth Proportional to 354,905.96, 532,454.70 and 155,244.20

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Solution

The fourth proportional to 354,905.96, 532,454.70 and 155,244.20 is: 232,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,905.96 : 532,454.70 = 155,244.20 : x
  2. Step 2: Convert to fraction form
    354,905.96/532,454.70 = 155,244.20/x
  3. Step 3: Cross multiply
    354,905.96x = 532,454.70 × 155,244.20
  4. Step 4: Simplify right side
    354,905.96x = 82,660,503,937.74
  5. Step 5: Solve for x
    x = 82,660,503,937.74/354,905.96
  6. Step 6: Final answer
    x = 232,908.19

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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.