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Finding the Fourth Proportional to 397,233.70, 596,080.95 and 147,940.90

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Solution

The fourth proportional to 397,233.70, 596,080.95 and 147,940.90 is: 221,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,233.70 : 596,080.95 = 147,940.90 : x
  2. Step 2: Convert to fraction form
    397,233.70/596,080.95 = 147,940.90/x
  3. Step 3: Cross multiply
    397,233.70x = 596,080.95 × 147,940.90
  4. Step 4: Simplify right side
    397,233.70x = 88,184,752,215.86
  5. Step 5: Solve for x
    x = 88,184,752,215.86/397,233.70
  6. Step 6: Final answer
    x = 221,997.16

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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.