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Finding the Fourth Proportional to 304,713.72, 456,944.22 and 115,141.32

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Solution

The fourth proportional to 304,713.72, 456,944.22 and 115,141.32 is: 172,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,713.72 : 456,944.22 = 115,141.32 : x
  2. Step 2: Convert to fraction form
    304,713.72/456,944.22 = 115,141.32/x
  3. Step 3: Cross multiply
    304,713.72x = 456,944.22 × 115,141.32
  4. Step 4: Simplify right side
    304,713.72x = 52,613,160,657.17
  5. Step 5: Solve for x
    x = 52,613,160,657.17/304,713.72
  6. Step 6: Final answer
    x = 172,664.23

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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.