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Finding the Fourth Proportional to 397,448.80, 595,968.40 and 148,002.40

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Solution

The fourth proportional to 397,448.80, 595,968.40 and 148,002.40 is: 221,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,448.80 : 595,968.40 = 148,002.40 : x
  2. Step 2: Convert to fraction form
    397,448.80/595,968.40 = 148,002.40/x
  3. Step 3: Cross multiply
    397,448.80x = 595,968.40 × 148,002.40
  4. Step 4: Simplify right side
    397,448.80x = 88,204,753,524.16
  5. Step 5: Solve for x
    x = 88,204,753,524.16/397,448.80
  6. Step 6: Final answer
    x = 221,927.34

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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.