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Finding the Fourth Proportional to 461,133.60, 691,700.40 and 431,390.40

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Solution

The fourth proportional to 461,133.60, 691,700.40 and 431,390.40 is: 647,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,133.60 : 691,700.40 = 431,390.40 : x
  2. Step 2: Convert to fraction form
    461,133.60/691,700.40 = 431,390.40/x
  3. Step 3: Cross multiply
    461,133.60x = 691,700.40 × 431,390.40
  4. Step 4: Simplify right side
    461,133.60x = 298,392,912,236.16
  5. Step 5: Solve for x
    x = 298,392,912,236.16/461,133.60
  6. Step 6: Final answer
    x = 647,085.60

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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.