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Finding the Fourth Proportional to 652,135.10, 978,202.65 and 439,558.70

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Solution

The fourth proportional to 652,135.10, 978,202.65 and 439,558.70 is: 659,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,135.10 : 978,202.65 = 439,558.70 : x
  2. Step 2: Convert to fraction form
    652,135.10/978,202.65 = 439,558.70/x
  3. Step 3: Cross multiply
    652,135.10x = 978,202.65 × 439,558.70
  4. Step 4: Simplify right side
    652,135.10x = 429,977,485,170.56
  5. Step 5: Solve for x
    x = 429,977,485,170.56/652,135.10
  6. Step 6: Final answer
    x = 659,338.05

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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.