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Finding the Fourth Proportional to 304,425.36, 456,769.32 and 164,151.60

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Solution

The fourth proportional to 304,425.36, 456,769.32 and 164,151.60 is: 246,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,425.36 : 456,769.32 = 164,151.60 : x
  2. Step 2: Convert to fraction form
    304,425.36/456,769.32 = 164,151.60/x
  3. Step 3: Cross multiply
    304,425.36x = 456,769.32 × 164,151.60
  4. Step 4: Simplify right side
    304,425.36x = 74,979,414,708.91
  5. Step 5: Solve for x
    x = 74,979,414,708.91/304,425.36
  6. Step 6: Final answer
    x = 246,298.19

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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.