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Finding the Fourth Proportional to 384,818.80, 577,228.20 and 160,104.55

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Solution

The fourth proportional to 384,818.80, 577,228.20 and 160,104.55 is: 240,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,818.80 : 577,228.20 = 160,104.55 : x
  2. Step 2: Convert to fraction form
    384,818.80/577,228.20 = 160,104.55/x
  3. Step 3: Cross multiply
    384,818.80x = 577,228.20 × 160,104.55
  4. Step 4: Simplify right side
    384,818.80x = 92,416,861,208.31
  5. Step 5: Solve for x
    x = 92,416,861,208.31/384,818.80
  6. Step 6: Final answer
    x = 240,156.83

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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.