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Finding the Fourth Proportional to 303,719.52, 419,101.92 and 176,422.08

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Solution

The fourth proportional to 303,719.52, 419,101.92 and 176,422.08 is: 243,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,719.52 : 419,101.92 = 176,422.08 : x
  2. Step 2: Convert to fraction form
    303,719.52/419,101.92 = 176,422.08/x
  3. Step 3: Cross multiply
    303,719.52x = 419,101.92 × 176,422.08
  4. Step 4: Simplify right side
    303,719.52x = 73,938,832,458.39
  5. Step 5: Solve for x
    x = 73,938,832,458.39/303,719.52
  6. Step 6: Final answer
    x = 243,444.45

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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.