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Finding the Fourth Proportional to 354,801.70, 532,437.61 and 194,989.24

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Solution

The fourth proportional to 354,801.70, 532,437.61 and 194,989.24 is: 292,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,801.70 : 532,437.61 = 194,989.24 : x
  2. Step 2: Convert to fraction form
    354,801.70/532,437.61 = 194,989.24/x
  3. Step 3: Cross multiply
    354,801.70x = 532,437.61 × 194,989.24
  4. Step 4: Simplify right side
    354,801.70x = 103,819,604,921.32
  5. Step 5: Solve for x
    x = 103,819,604,921.32/354,801.70
  6. Step 6: Final answer
    x = 292,613.04

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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.