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Finding the Fourth Proportional to 463,148.58, 639,156.46 and 259,197.86

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Solution

The fourth proportional to 463,148.58, 639,156.46 and 259,197.86 is: 357,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,148.58 : 639,156.46 = 259,197.86 : x
  2. Step 2: Convert to fraction form
    463,148.58/639,156.46 = 259,197.86/x
  3. Step 3: Cross multiply
    463,148.58x = 639,156.46 × 259,197.86
  4. Step 4: Simplify right side
    463,148.58x = 165,667,986,637.18
  5. Step 5: Solve for x
    x = 165,667,986,637.18/463,148.58
  6. Step 6: Final answer
    x = 357,699.44

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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.