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Finding the Fourth Proportional to 463,381.48, 695,126.94 and 147,727.72

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Solution

The fourth proportional to 463,381.48, 695,126.94 and 147,727.72 is: 221,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,381.48 : 695,126.94 = 147,727.72 : x
  2. Step 2: Convert to fraction form
    463,381.48/695,126.94 = 147,727.72/x
  3. Step 3: Cross multiply
    463,381.48x = 695,126.94 × 147,727.72
  4. Step 4: Simplify right side
    463,381.48x = 102,689,517,956.78
  5. Step 5: Solve for x
    x = 102,689,517,956.78/463,381.48
  6. Step 6: Final answer
    x = 221,609.02

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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.