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Finding the Fourth Proportional to 384,335.80, 576,503.70 and 272,142.70

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Solution

The fourth proportional to 384,335.80, 576,503.70 and 272,142.70 is: 408,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,335.80 : 576,503.70 = 272,142.70 : x
  2. Step 2: Convert to fraction form
    384,335.80/576,503.70 = 272,142.70/x
  3. Step 3: Cross multiply
    384,335.80x = 576,503.70 × 272,142.70
  4. Step 4: Simplify right side
    384,335.80x = 156,891,273,477.99
  5. Step 5: Solve for x
    x = 156,891,273,477.99/384,335.80
  6. Step 6: Final answer
    x = 408,214.05

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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.