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Finding the Fourth Proportional to 304,498.20, 456,747.30 and 146,742.60

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Solution

The fourth proportional to 304,498.20, 456,747.30 and 146,742.60 is: 220,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,498.20 : 456,747.30 = 146,742.60 : x
  2. Step 2: Convert to fraction form
    304,498.20/456,747.30 = 146,742.60/x
  3. Step 3: Cross multiply
    304,498.20x = 456,747.30 × 146,742.60
  4. Step 4: Simplify right side
    304,498.20x = 67,024,286,344.98
  5. Step 5: Solve for x
    x = 67,024,286,344.98/304,498.20
  6. Step 6: Final answer
    x = 220,113.90

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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.