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Finding the Fourth Proportional to 614,069.39, 916,786.31 and 469,217.12

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Solution

The fourth proportional to 614,069.39, 916,786.31 and 469,217.12 is: 700,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,069.39 : 916,786.31 = 469,217.12 : x
  2. Step 2: Convert to fraction form
    614,069.39/916,786.31 = 469,217.12/x
  3. Step 3: Cross multiply
    614,069.39x = 916,786.31 × 469,217.12
  4. Step 4: Simplify right side
    614,069.39x = 430,171,825,103.61
  5. Step 5: Solve for x
    x = 430,171,825,103.61/614,069.39
  6. Step 6: Final answer
    x = 700,526.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.