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Finding the Fourth Proportional to 232,494, 348,744.24 and 66,282

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Solution

The fourth proportional to 232,494, 348,744.24 and 66,282 is: 99,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,494 : 348,744.24 = 66,282 : x
  2. Step 2: Convert to fraction form
    232,494/348,744.24 = 66,282/x
  3. Step 3: Cross multiply
    232,494x = 348,744.24 × 66,282
  4. Step 4: Simplify right side
    232,494x = 23,115,465,715.68
  5. Step 5: Solve for x
    x = 23,115,465,715.68/232,494
  6. Step 6: Final answer
    x = 99,423.92

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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.