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Finding the Fourth Proportional to 652,083.30, 978,124.95 and 231,401.70

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Solution

The fourth proportional to 652,083.30, 978,124.95 and 231,401.70 is: 347,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,083.30 : 978,124.95 = 231,401.70 : x
  2. Step 2: Convert to fraction form
    652,083.30/978,124.95 = 231,401.70/x
  3. Step 3: Cross multiply
    652,083.30x = 978,124.95 × 231,401.70
  4. Step 4: Simplify right side
    652,083.30x = 226,339,776,242.42
  5. Step 5: Solve for x
    x = 226,339,776,242.42/652,083.30
  6. Step 6: Final answer
    x = 347,102.55

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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.