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Finding the Fourth Proportional to 301,446.42, 451,853.37 and 101,697.90

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Solution

The fourth proportional to 301,446.42, 451,853.37 and 101,697.90 is: 152,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446.42 : 451,853.37 = 101,697.90 : x
  2. Step 2: Convert to fraction form
    301,446.42/451,853.37 = 101,697.90/x
  3. Step 3: Cross multiply
    301,446.42x = 451,853.37 × 101,697.90
  4. Step 4: Simplify right side
    301,446.42x = 45,952,538,836.92
  5. Step 5: Solve for x
    x = 45,952,538,836.92/301,446.42
  6. Step 6: Final answer
    x = 152,440.15

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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.