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Finding the Fourth Proportional to 384,651.70, 577,084.20 and 160,117.90

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Solution

The fourth proportional to 384,651.70, 577,084.20 and 160,117.90 is: 240,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,651.70 : 577,084.20 = 160,117.90 : x
  2. Step 2: Convert to fraction form
    384,651.70/577,084.20 = 160,117.90/x
  3. Step 3: Cross multiply
    384,651.70x = 577,084.20 × 160,117.90
  4. Step 4: Simplify right side
    384,651.70x = 92,401,510,227.18
  5. Step 5: Solve for x
    x = 92,401,510,227.18/384,651.70
  6. Step 6: Final answer
    x = 240,221.24

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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.