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Finding the Fourth Proportional to 384,423.20, 576,735.60 and 147,773.60

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Solution

The fourth proportional to 384,423.20, 576,735.60 and 147,773.60 is: 221,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,423.20 : 576,735.60 = 147,773.60 : x
  2. Step 2: Convert to fraction form
    384,423.20/576,735.60 = 147,773.60/x
  3. Step 3: Cross multiply
    384,423.20x = 576,735.60 × 147,773.60
  4. Step 4: Simplify right side
    384,423.20x = 85,226,295,860.16
  5. Step 5: Solve for x
    x = 85,226,295,860.16/384,423.20
  6. Step 6: Final answer
    x = 221,699.15

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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.