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Finding the Fourth Proportional to 424,207.06, 585,494.95 and 269,057.91

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Solution

The fourth proportional to 424,207.06, 585,494.95 and 269,057.91 is: 371,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,207.06 : 585,494.95 = 269,057.91 : x
  2. Step 2: Convert to fraction form
    424,207.06/585,494.95 = 269,057.91/x
  3. Step 3: Cross multiply
    424,207.06x = 585,494.95 × 269,057.91
  4. Step 4: Simplify right side
    424,207.06x = 157,532,047,562.55
  5. Step 5: Solve for x
    x = 157,532,047,562.55/424,207.06
  6. Step 6: Final answer
    x = 371,356.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.