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Finding the Fourth Proportional to 381,757.48, 572,635.58 and 97,447.98

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Solution

The fourth proportional to 381,757.48, 572,635.58 and 97,447.98 is: 146,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,757.48 : 572,635.58 = 97,447.98 : x
  2. Step 2: Convert to fraction form
    381,757.48/572,635.58 = 97,447.98/x
  3. Step 3: Cross multiply
    381,757.48x = 572,635.58 × 97,447.98
  4. Step 4: Simplify right side
    381,757.48x = 55,802,180,547.13
  5. Step 5: Solve for x
    x = 55,802,180,547.13/381,757.48
  6. Step 6: Final answer
    x = 146,171.81

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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.