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Finding the Fourth Proportional to 652,293.20, 978,439.80 and 439,716.80

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Solution

The fourth proportional to 652,293.20, 978,439.80 and 439,716.80 is: 659,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,293.20 : 978,439.80 = 439,716.80 : x
  2. Step 2: Convert to fraction form
    652,293.20/978,439.80 = 439,716.80/x
  3. Step 3: Cross multiply
    652,293.20x = 978,439.80 × 439,716.80
  4. Step 4: Simplify right side
    652,293.20x = 430,236,417,848.64
  5. Step 5: Solve for x
    x = 430,236,417,848.64/652,293.20
  6. Step 6: Final answer
    x = 659,575.20

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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.