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Finding the Fourth Proportional to 541,189.26, 746,920.40 and 311,702.42

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Solution

The fourth proportional to 541,189.26, 746,920.40 and 311,702.42 is: 430,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,189.26 : 746,920.40 = 311,702.42 : x
  2. Step 2: Convert to fraction form
    541,189.26/746,920.40 = 311,702.42/x
  3. Step 3: Cross multiply
    541,189.26x = 746,920.40 × 311,702.42
  4. Step 4: Simplify right side
    541,189.26x = 232,816,896,536.16
  5. Step 5: Solve for x
    x = 232,816,896,536.16/541,189.26
  6. Step 6: Final answer
    x = 430,194.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.