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Finding the Fourth Proportional to 300,417.93, 414,444.83 and 179,498.70

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Solution

The fourth proportional to 300,417.93, 414,444.83 and 179,498.70 is: 247,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,417.93 : 414,444.83 = 179,498.70 : x
  2. Step 2: Convert to fraction form
    300,417.93/414,444.83 = 179,498.70/x
  3. Step 3: Cross multiply
    300,417.93x = 414,444.83 × 179,498.70
  4. Step 4: Simplify right side
    300,417.93x = 74,392,307,309.23
  5. Step 5: Solve for x
    x = 74,392,307,309.23/300,417.93
  6. Step 6: Final answer
    x = 247,629.39

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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.