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Finding the Fourth Proportional to 424,098.89, 585,258.41 and 233,124.58

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Solution

The fourth proportional to 424,098.89, 585,258.41 and 233,124.58 is: 321,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.89 : 585,258.41 = 233,124.58 : x
  2. Step 2: Convert to fraction form
    424,098.89/585,258.41 = 233,124.58/x
  3. Step 3: Cross multiply
    424,098.89x = 585,258.41 × 233,124.58
  4. Step 4: Simplify right side
    424,098.89x = 136,438,122,337.10
  5. Step 5: Solve for x
    x = 136,438,122,337.10/424,098.89
  6. Step 6: Final answer
    x = 321,712.99

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