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Finding the Fourth Proportional to 412,839.12, 569,190.54 and 267,387.96

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Solution

The fourth proportional to 412,839.12, 569,190.54 and 267,387.96 is: 368,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,839.12 : 569,190.54 = 267,387.96 : x
  2. Step 2: Convert to fraction form
    412,839.12/569,190.54 = 267,387.96/x
  3. Step 3: Cross multiply
    412,839.12x = 569,190.54 × 267,387.96
  4. Step 4: Simplify right side
    412,839.12x = 152,194,697,341.90
  5. Step 5: Solve for x
    x = 152,194,697,341.90/412,839.12
  6. Step 6: Final answer
    x = 368,653.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.