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Finding the Fourth Proportional to 315,096.80, 472,952.40 and 157,503.20

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Solution

The fourth proportional to 315,096.80, 472,952.40 and 157,503.20 is: 236,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.80 : 472,952.40 = 157,503.20 : x
  2. Step 2: Convert to fraction form
    315,096.80/472,952.40 = 157,503.20/x
  3. Step 3: Cross multiply
    315,096.80x = 472,952.40 × 157,503.20
  4. Step 4: Simplify right side
    315,096.80x = 74,491,516,447.68
  5. Step 5: Solve for x
    x = 74,491,516,447.68/315,096.80
  6. Step 6: Final answer
    x = 236,408.36

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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.