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Finding the Fourth Proportional to 315,359.24, 472,706.64 and 157,255.54

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Solution

The fourth proportional to 315,359.24, 472,706.64 and 157,255.54 is: 235,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,359.24 : 472,706.64 = 157,255.54 : x
  2. Step 2: Convert to fraction form
    315,359.24/472,706.64 = 157,255.54/x
  3. Step 3: Cross multiply
    315,359.24x = 472,706.64 × 157,255.54
  4. Step 4: Simplify right side
    315,359.24x = 74,335,737,934.79
  5. Step 5: Solve for x
    x = 74,335,737,934.79/315,359.24
  6. Step 6: Final answer
    x = 235,717.65

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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.