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Finding the Fourth Proportional to 702,122.49, 1,053,227.49 and 281,343.69

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Solution

The fourth proportional to 702,122.49, 1,053,227.49 and 281,343.69 is: 422,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,122.49 : 1,053,227.49 = 281,343.69 : x
  2. Step 2: Convert to fraction form
    702,122.49/1,053,227.49 = 281,343.69/x
  3. Step 3: Cross multiply
    702,122.49x = 1,053,227.49 × 281,343.69
  4. Step 4: Simplify right side
    702,122.49x = 296,318,908,446.04
  5. Step 5: Solve for x
    x = 296,318,908,446.04/702,122.49
  6. Step 6: Final answer
    x = 422,033.07

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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.