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Finding the Fourth Proportional to 513,524.68, 769,995.42 and 429,806.32

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Solution

The fourth proportional to 513,524.68, 769,995.42 and 429,806.32 is: 644,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,524.68 : 769,995.42 = 429,806.32 : x
  2. Step 2: Convert to fraction form
    513,524.68/769,995.42 = 429,806.32/x
  3. Step 3: Cross multiply
    513,524.68x = 769,995.42 × 429,806.32
  4. Step 4: Simplify right side
    513,524.68x = 330,948,897,887.05
  5. Step 5: Solve for x
    x = 330,948,897,887.05/513,524.68
  6. Step 6: Final answer
    x = 644,465.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.