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Finding the Fourth Proportional to 520,093.60, 780,140.40 and 431,447.20

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Solution

The fourth proportional to 520,093.60, 780,140.40 and 431,447.20 is: 647,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,093.60 : 780,140.40 = 431,447.20 : x
  2. Step 2: Convert to fraction form
    520,093.60/780,140.40 = 431,447.20/x
  3. Step 3: Cross multiply
    520,093.60x = 780,140.40 × 431,447.20
  4. Step 4: Simplify right side
    520,093.60x = 336,589,391,186.88
  5. Step 5: Solve for x
    x = 336,589,391,186.88/520,093.60
  6. Step 6: Final answer
    x = 647,170.80

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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.