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Finding the Fourth Proportional to 288,414.40, 432,697.20 and 110,927.20

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Solution

The fourth proportional to 288,414.40, 432,697.20 and 110,927.20 is: 166,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414.40 : 432,697.20 = 110,927.20 : x
  2. Step 2: Convert to fraction form
    288,414.40/432,697.20 = 110,927.20/x
  3. Step 3: Cross multiply
    288,414.40x = 432,697.20 × 110,927.20
  4. Step 4: Simplify right side
    288,414.40x = 47,997,888,843.84
  5. Step 5: Solve for x
    x = 47,997,888,843.84/288,414.40
  6. Step 6: Final answer
    x = 166,419.88

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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.