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Finding the Fourth Proportional to 652,192.40, 978,385.80 and 231,433.04

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Solution

The fourth proportional to 652,192.40, 978,385.80 and 231,433.04 is: 347,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,192.40 : 978,385.80 = 231,433.04 : x
  2. Step 2: Convert to fraction form
    652,192.40/978,385.80 = 231,433.04/x
  3. Step 3: Cross multiply
    652,192.40x = 978,385.80 × 231,433.04
  4. Step 4: Simplify right side
    652,192.40x = 226,430,799,986.83
  5. Step 5: Solve for x
    x = 226,430,799,986.83/652,192.40
  6. Step 6: Final answer
    x = 347,184.05

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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.