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Finding the Fourth Proportional to 382,258.49, 573,456.93 and 157,494.02

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Solution

The fourth proportional to 382,258.49, 573,456.93 and 157,494.02 is: 236,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,258.49 : 573,456.93 = 157,494.02 : x
  2. Step 2: Convert to fraction form
    382,258.49/573,456.93 = 157,494.02/x
  3. Step 3: Cross multiply
    382,258.49x = 573,456.93 × 157,494.02
  4. Step 4: Simplify right side
    382,258.49x = 90,316,034,335.27
  5. Step 5: Solve for x
    x = 90,316,034,335.27/382,258.49
  6. Step 6: Final answer
    x = 236,269.53

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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.