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Finding the Fourth Proportional to 304,794.31, 457,486.72 and 147,133.48

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Solution

The fourth proportional to 304,794.31, 457,486.72 and 147,133.48 is: 220,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,794.31 : 457,486.72 = 147,133.48 : x
  2. Step 2: Convert to fraction form
    304,794.31/457,486.72 = 147,133.48/x
  3. Step 3: Cross multiply
    304,794.31x = 457,486.72 × 147,133.48
  4. Step 4: Simplify right side
    304,794.31x = 67,311,613,167.39
  5. Step 5: Solve for x
    x = 67,311,613,167.39/304,794.31
  6. Step 6: Final answer
    x = 220,842.75

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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.