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Finding the Fourth Proportional to 524,641.30, 786,744.70 and 164,691.88

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Solution

The fourth proportional to 524,641.30, 786,744.70 and 164,691.88 is: 246,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,641.30 : 786,744.70 = 164,691.88 : x
  2. Step 2: Convert to fraction form
    524,641.30/786,744.70 = 164,691.88/x
  3. Step 3: Cross multiply
    524,641.30x = 786,744.70 × 164,691.88
  4. Step 4: Simplify right side
    524,641.30x = 129,570,463,723.04
  5. Step 5: Solve for x
    x = 129,570,463,723.04/524,641.30
  6. Step 6: Final answer
    x = 246,969.62

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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.