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Finding the Fourth Proportional to 300,020.52, 414,038.88 and 179,254.38

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Solution

The fourth proportional to 300,020.52, 414,038.88 and 179,254.38 is: 247,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020.52 : 414,038.88 = 179,254.38 : x
  2. Step 2: Convert to fraction form
    300,020.52/414,038.88 = 179,254.38/x
  3. Step 3: Cross multiply
    300,020.52x = 414,038.88 × 179,254.38
  4. Step 4: Simplify right side
    300,020.52x = 74,218,282,730.29
  5. Step 5: Solve for x
    x = 74,218,282,730.29/300,020.52
  6. Step 6: Final answer
    x = 247,377.36

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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.