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Finding the Fourth Proportional to 304,951.02, 420,832.44 and 170,815.02

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Solution

The fourth proportional to 304,951.02, 420,832.44 and 170,815.02 is: 235,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,951.02 : 420,832.44 = 170,815.02 : x
  2. Step 2: Convert to fraction form
    304,951.02/420,832.44 = 170,815.02/x
  3. Step 3: Cross multiply
    304,951.02x = 420,832.44 × 170,815.02
  4. Step 4: Simplify right side
    304,951.02x = 71,884,501,655.25
  5. Step 5: Solve for x
    x = 71,884,501,655.25/304,951.02
  6. Step 6: Final answer
    x = 235,724.75

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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.