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Finding the Fourth Proportional to 304,663.20, 456,670.80 and 146,788.80

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Solution

The fourth proportional to 304,663.20, 456,670.80 and 146,788.80 is: 220,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,663.20 : 456,670.80 = 146,788.80 : x
  2. Step 2: Convert to fraction form
    304,663.20/456,670.80 = 146,788.80/x
  3. Step 3: Cross multiply
    304,663.20x = 456,670.80 × 146,788.80
  4. Step 4: Simplify right side
    304,663.20x = 67,034,158,727.04
  5. Step 5: Solve for x
    x = 67,034,158,727.04/304,663.20
  6. Step 6: Final answer
    x = 220,027.09

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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.