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Finding the Fourth Proportional to 398,281.20, 597,421.80 and 148,930.80

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Solution

The fourth proportional to 398,281.20, 597,421.80 and 148,930.80 is: 223,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,281.20 : 597,421.80 = 148,930.80 : x
  2. Step 2: Convert to fraction form
    398,281.20/597,421.80 = 148,930.80/x
  3. Step 3: Cross multiply
    398,281.20x = 597,421.80 × 148,930.80
  4. Step 4: Simplify right side
    398,281.20x = 88,974,506,611.44
  5. Step 5: Solve for x
    x = 88,974,506,611.44/398,281.20
  6. Step 6: Final answer
    x = 223,396.20

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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.