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Finding the Fourth Proportional to 463,531.52, 639,682.56 and 302,489.60

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Solution

The fourth proportional to 463,531.52, 639,682.56 and 302,489.60 is: 417,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,531.52 : 639,682.56 = 302,489.60 : x
  2. Step 2: Convert to fraction form
    463,531.52/639,682.56 = 302,489.60/x
  3. Step 3: Cross multiply
    463,531.52x = 639,682.56 × 302,489.60
  4. Step 4: Simplify right side
    463,531.52x = 193,497,321,701.38
  5. Step 5: Solve for x
    x = 193,497,321,701.38/463,531.52
  6. Step 6: Final answer
    x = 417,441.56

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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.