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Finding the Fourth Proportional to 463,514.73, 639,704.16 and 282,332.73

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Solution

The fourth proportional to 463,514.73, 639,704.16 and 282,332.73 is: 389,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,514.73 : 639,704.16 = 282,332.73 : x
  2. Step 2: Convert to fraction form
    463,514.73/639,704.16 = 282,332.73/x
  3. Step 3: Cross multiply
    463,514.73x = 639,704.16 × 282,332.73
  4. Step 4: Simplify right side
    463,514.73x = 180,609,421,885.16
  5. Step 5: Solve for x
    x = 180,609,421,885.16/463,514.73
  6. Step 6: Final answer
    x = 389,651.96

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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.