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Finding the Fourth Proportional to 324,432.16, 447,707.28 and 181,188

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Solution

The fourth proportional to 324,432.16, 447,707.28 and 181,188 is: 250,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,432.16 : 447,707.28 = 181,188 : x
  2. Step 2: Convert to fraction form
    324,432.16/447,707.28 = 181,188/x
  3. Step 3: Cross multiply
    324,432.16x = 447,707.28 × 181,188
  4. Step 4: Simplify right side
    324,432.16x = 81,119,186,648.64
  5. Step 5: Solve for x
    x = 81,119,186,648.64/324,432.16
  6. Step 6: Final answer
    x = 250,034.36

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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.