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Finding the Fourth Proportional to 460,601.70, 690,902.55 and 431,077.20

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Solution

The fourth proportional to 460,601.70, 690,902.55 and 431,077.20 is: 646,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,601.70 : 690,902.55 = 431,077.20 : x
  2. Step 2: Convert to fraction form
    460,601.70/690,902.55 = 431,077.20/x
  3. Step 3: Cross multiply
    460,601.70x = 690,902.55 × 431,077.20
  4. Step 4: Simplify right side
    460,601.70x = 297,832,336,726.86
  5. Step 5: Solve for x
    x = 297,832,336,726.86/460,601.70
  6. Step 6: Final answer
    x = 646,615.80

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Similar ratio
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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.