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Finding the Fourth Proportional to 384,841.32, 577,355.94 and 271,210.80

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Solution

The fourth proportional to 384,841.32, 577,355.94 and 271,210.80 is: 406,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,841.32 : 577,355.94 = 271,210.80 : x
  2. Step 2: Convert to fraction form
    384,841.32/577,355.94 = 271,210.80/x
  3. Step 3: Cross multiply
    384,841.32x = 577,355.94 × 271,210.80
  4. Step 4: Simplify right side
    384,841.32x = 156,585,166,372.15
  5. Step 5: Solve for x
    x = 156,585,166,372.15/384,841.32
  6. Step 6: Final answer
    x = 406,882.42

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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.