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Finding the Fourth Proportional to 324,430.16, 447,704.52 and 181,186

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Solution

The fourth proportional to 324,430.16, 447,704.52 and 181,186 is: 250,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,430.16 : 447,704.52 = 181,186 : x
  2. Step 2: Convert to fraction form
    324,430.16/447,704.52 = 181,186/x
  3. Step 3: Cross multiply
    324,430.16x = 447,704.52 × 181,186
  4. Step 4: Simplify right side
    324,430.16x = 81,117,791,160.72
  5. Step 5: Solve for x
    x = 81,117,791,160.72/324,430.16
  6. Step 6: Final answer
    x = 250,031.60

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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.