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Finding the Fourth Proportional to 652,113.70, 978,170.55 and 439,537.30

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Solution

The fourth proportional to 652,113.70, 978,170.55 and 439,537.30 is: 659,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,113.70 : 978,170.55 = 439,537.30 : x
  2. Step 2: Convert to fraction form
    652,113.70/978,170.55 = 439,537.30/x
  3. Step 3: Cross multiply
    652,113.70x = 978,170.55 × 439,537.30
  4. Step 4: Simplify right side
    652,113.70x = 429,942,442,486.52
  5. Step 5: Solve for x
    x = 429,942,442,486.52/652,113.70
  6. Step 6: Final answer
    x = 659,305.95

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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.