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Finding the Fourth Proportional to 383,258.56, 574,957.14 and 158,496.97

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Solution

The fourth proportional to 383,258.56, 574,957.14 and 158,496.97 is: 237,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,258.56 : 574,957.14 = 158,496.97 : x
  2. Step 2: Convert to fraction form
    383,258.56/574,957.14 = 158,496.97/x
  3. Step 3: Cross multiply
    383,258.56x = 574,957.14 × 158,496.97
  4. Step 4: Simplify right side
    383,258.56x = 91,128,964,569.87
  5. Step 5: Solve for x
    x = 91,128,964,569.87/383,258.56
  6. Step 6: Final answer
    x = 237,774.11

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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.