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Finding the Fourth Proportional to 354,801.96, 532,437.99 and 194,989.50

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Solution

The fourth proportional to 354,801.96, 532,437.99 and 194,989.50 is: 292,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,801.96 : 532,437.99 = 194,989.50 : x
  2. Step 2: Convert to fraction form
    354,801.96/532,437.99 = 194,989.50/x
  3. Step 3: Cross multiply
    354,801.96x = 532,437.99 × 194,989.50
  4. Step 4: Simplify right side
    354,801.96x = 103,819,814,788.92
  5. Step 5: Solve for x
    x = 103,819,814,788.92/354,801.96
  6. Step 6: Final answer
    x = 292,613.42

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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.