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Finding the Fourth Proportional to 304,494.13, 456,908.36 and 154,747.34

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Solution

The fourth proportional to 304,494.13, 456,908.36 and 154,747.34 is: 232,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,494.13 : 456,908.36 = 154,747.34 : x
  2. Step 2: Convert to fraction form
    304,494.13/456,908.36 = 154,747.34/x
  3. Step 3: Cross multiply
    304,494.13x = 456,908.36 × 154,747.34
  4. Step 4: Simplify right side
    304,494.13x = 70,705,350,275.48
  5. Step 5: Solve for x
    x = 70,705,350,275.48/304,494.13
  6. Step 6: Final answer
    x = 232,205.96

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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.