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Finding the Fourth Proportional to 413,440.26, 620,160.52 and 132,957.50

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Solution

The fourth proportional to 413,440.26, 620,160.52 and 132,957.50 is: 199,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,440.26 : 620,160.52 = 132,957.50 : x
  2. Step 2: Convert to fraction form
    413,440.26/620,160.52 = 132,957.50/x
  3. Step 3: Cross multiply
    413,440.26x = 620,160.52 × 132,957.50
  4. Step 4: Simplify right side
    413,440.26x = 82,454,992,337.90
  5. Step 5: Solve for x
    x = 82,454,992,337.90/413,440.26
  6. Step 6: Final answer
    x = 199,436.29

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1.5x scale

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.