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Finding the Fourth Proportional to 298,488.60, 447,732.90 and 98,839.80

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Solution

The fourth proportional to 298,488.60, 447,732.90 and 98,839.80 is: 148,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,488.60 : 447,732.90 = 98,839.80 : x
  2. Step 2: Convert to fraction form
    298,488.60/447,732.90 = 98,839.80/x
  3. Step 3: Cross multiply
    298,488.60x = 447,732.90 × 98,839.80
  4. Step 4: Simplify right side
    298,488.60x = 44,253,830,289.42
  5. Step 5: Solve for x
    x = 44,253,830,289.42/298,488.60
  6. Step 6: Final answer
    x = 148,259.70

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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.