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Finding the Fourth Proportional to 393,833.60, 590,531.70 and 156,908.60

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Solution

The fourth proportional to 393,833.60, 590,531.70 and 156,908.60 is: 235,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,833.60 : 590,531.70 = 156,908.60 : x
  2. Step 2: Convert to fraction form
    393,833.60/590,531.70 = 156,908.60/x
  3. Step 3: Cross multiply
    393,833.60x = 590,531.70 × 156,908.60
  4. Step 4: Simplify right side
    393,833.60x = 92,659,502,302.62
  5. Step 5: Solve for x
    x = 92,659,502,302.62/393,833.60
  6. Step 6: Final answer
    x = 235,275.77

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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.