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Finding the Fourth Proportional to 304,613.70, 456,596.55 and 146,739.30

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Solution

The fourth proportional to 304,613.70, 456,596.55 and 146,739.30 is: 219,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613.70 : 456,596.55 = 146,739.30 : x
  2. Step 2: Convert to fraction form
    304,613.70/456,596.55 = 146,739.30/x
  3. Step 3: Cross multiply
    304,613.70x = 456,596.55 × 146,739.30
  4. Step 4: Simplify right side
    304,613.70x = 67,000,658,129.42
  5. Step 5: Solve for x
    x = 67,000,658,129.42/304,613.70
  6. Step 6: Final answer
    x = 219,952.87

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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.