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Finding the Fourth Proportional to 424,262.85, 585,482.63 and 233,288.61

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Solution

The fourth proportional to 424,262.85, 585,482.63 and 233,288.61 is: 321,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,262.85 : 585,482.63 = 233,288.61 : x
  2. Step 2: Convert to fraction form
    424,262.85/585,482.63 = 233,288.61/x
  3. Step 3: Cross multiply
    424,262.85x = 585,482.63 × 233,288.61
  4. Step 4: Simplify right side
    424,262.85x = 136,586,427,765.40
  5. Step 5: Solve for x
    x = 136,586,427,765.40/424,262.85
  6. Step 6: Final answer
    x = 321,938.22

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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.