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Finding the Fourth Proportional to 305,067.63, 457,607.52 and 214,740.90

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Solution

The fourth proportional to 305,067.63, 457,607.52 and 214,740.90 is: 322,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,067.63 : 457,607.52 = 214,740.90 : x
  2. Step 2: Convert to fraction form
    305,067.63/457,607.52 = 214,740.90/x
  3. Step 3: Cross multiply
    305,067.63x = 457,607.52 × 214,740.90
  4. Step 4: Simplify right side
    305,067.63x = 98,267,050,691.57
  5. Step 5: Solve for x
    x = 98,267,050,691.57/305,067.63
  6. Step 6: Final answer
    x = 322,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.