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Finding the Fourth Proportional to 304,540.70, 456,811.05 and 146,785.10

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Solution

The fourth proportional to 304,540.70, 456,811.05 and 146,785.10 is: 220,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,540.70 : 456,811.05 = 146,785.10 : x
  2. Step 2: Convert to fraction form
    304,540.70/456,811.05 = 146,785.10/x
  3. Step 3: Cross multiply
    304,540.70x = 456,811.05 × 146,785.10
  4. Step 4: Simplify right side
    304,540.70x = 67,053,055,655.36
  5. Step 5: Solve for x
    x = 67,053,055,655.36/304,540.70
  6. Step 6: Final answer
    x = 220,177.65

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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.