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Finding the Fourth Proportional to 354,824.70, 532,322.10 and 118,169.43

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Solution

The fourth proportional to 354,824.70, 532,322.10 and 118,169.43 is: 177,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,824.70 : 532,322.10 = 118,169.43 : x
  2. Step 2: Convert to fraction form
    354,824.70/532,322.10 = 118,169.43/x
  3. Step 3: Cross multiply
    354,824.70x = 532,322.10 × 118,169.43
  4. Step 4: Simplify right side
    354,824.70x = 62,904,199,133.40
  5. Step 5: Solve for x
    x = 62,904,199,133.40/354,824.70
  6. Step 6: Final answer
    x = 177,282.47

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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.