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Finding the Fourth Proportional to 304,077.18, 419,693.13 and 176,826.18

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Solution

The fourth proportional to 304,077.18, 419,693.13 and 176,826.18 is: 244,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,077.18 : 419,693.13 = 176,826.18 : x
  2. Step 2: Convert to fraction form
    304,077.18/419,693.13 = 176,826.18/x
  3. Step 3: Cross multiply
    304,077.18x = 419,693.13 × 176,826.18
  4. Step 4: Simplify right side
    304,077.18x = 74,212,733,557.31
  5. Step 5: Solve for x
    x = 74,212,733,557.31/304,077.18
  6. Step 6: Final answer
    x = 244,058.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.