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Finding the Fourth Proportional to 652,193.40, 978,462.90 and 231,425.40

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Solution

The fourth proportional to 652,193.40, 978,462.90 and 231,425.40 is: 347,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,193.40 : 978,462.90 = 231,425.40 : x
  2. Step 2: Convert to fraction form
    652,193.40/978,462.90 = 231,425.40/x
  3. Step 3: Cross multiply
    652,193.40x = 978,462.90 × 231,425.40
  4. Step 4: Simplify right side
    652,193.40x = 226,441,168,017.66
  5. Step 5: Solve for x
    x = 226,441,168,017.66/652,193.40
  6. Step 6: Final answer
    x = 347,199.42

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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.