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Finding the Fourth Proportional to 381,713.40, 571,403.70 and 297,732.60

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Solution

The fourth proportional to 381,713.40, 571,403.70 and 297,732.60 is: 445,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,713.40 : 571,403.70 = 297,732.60 : x
  2. Step 2: Convert to fraction form
    381,713.40/571,403.70 = 297,732.60/x
  3. Step 3: Cross multiply
    381,713.40x = 571,403.70 × 297,732.60
  4. Step 4: Simplify right side
    381,713.40x = 170,125,509,250.62
  5. Step 5: Solve for x
    x = 170,125,509,250.62/381,713.40
  6. Step 6: Final answer
    x = 445,689.12

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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.