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Finding the Fourth Proportional to 397,254.20, 596,111.70 and 147,961.40

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Solution

The fourth proportional to 397,254.20, 596,111.70 and 147,961.40 is: 222,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,254.20 : 596,111.70 = 147,961.40 : x
  2. Step 2: Convert to fraction form
    397,254.20/596,111.70 = 147,961.40/x
  3. Step 3: Cross multiply
    397,254.20x = 596,111.70 × 147,961.40
  4. Step 4: Simplify right side
    397,254.20x = 88,201,521,688.38
  5. Step 5: Solve for x
    x = 88,201,521,688.38/397,254.20
  6. Step 6: Final answer
    x = 222,027.91

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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.