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Finding the Fourth Proportional to 424,859.60, 586,306.08 and 233,872

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Solution

The fourth proportional to 424,859.60, 586,306.08 and 233,872 is: 322,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,859.60 : 586,306.08 = 233,872 : x
  2. Step 2: Convert to fraction form
    424,859.60/586,306.08 = 233,872/x
  3. Step 3: Cross multiply
    424,859.60x = 586,306.08 × 233,872
  4. Step 4: Simplify right side
    424,859.60x = 137,120,575,541.76
  5. Step 5: Solve for x
    x = 137,120,575,541.76/424,859.60
  6. Step 6: Final answer
    x = 322,743.27

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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.