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Finding the Fourth Proportional to 610,589.44, 842,061.98 and 381,167.90

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Solution

The fourth proportional to 610,589.44, 842,061.98 and 381,167.90 is: 525,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,589.44 : 842,061.98 = 381,167.90 : x
  2. Step 2: Convert to fraction form
    610,589.44/842,061.98 = 381,167.90/x
  3. Step 3: Cross multiply
    610,589.44x = 842,061.98 × 381,167.90
  4. Step 4: Simplify right side
    610,589.44x = 320,966,996,711.01
  5. Step 5: Solve for x
    x = 320,966,996,711.01/610,589.44
  6. Step 6: Final answer
    x = 525,667.45

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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.