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Finding the Fourth Proportional to 652,175.20, 978,262.80 and 427,643.20

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Solution

The fourth proportional to 652,175.20, 978,262.80 and 427,643.20 is: 641,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,175.20 : 978,262.80 = 427,643.20 : x
  2. Step 2: Convert to fraction form
    652,175.20/978,262.80 = 427,643.20/x
  3. Step 3: Cross multiply
    652,175.20x = 978,262.80 × 427,643.20
  4. Step 4: Simplify right side
    652,175.20x = 418,347,434,232.96
  5. Step 5: Solve for x
    x = 418,347,434,232.96/652,175.20
  6. Step 6: Final answer
    x = 641,464.80

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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.