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Finding the Fourth Proportional to 304,613.20, 456,595.80 and 146,738.80

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Solution

The fourth proportional to 304,613.20, 456,595.80 and 146,738.80 is: 219,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613.20 : 456,595.80 = 146,738.80 : x
  2. Step 2: Convert to fraction form
    304,613.20/456,595.80 = 146,738.80/x
  3. Step 3: Cross multiply
    304,613.20x = 456,595.80 × 146,738.80
  4. Step 4: Simplify right side
    304,613.20x = 67,000,319,777.04
  5. Step 5: Solve for x
    x = 67,000,319,777.04/304,613.20
  6. Step 6: Final answer
    x = 219,952.12

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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.