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Finding the Fourth Proportional to 325,463.52, 488,214.24 and 125,814.72

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Solution

The fourth proportional to 325,463.52, 488,214.24 and 125,814.72 is: 188,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,463.52 : 488,214.24 = 125,814.72 : x
  2. Step 2: Convert to fraction form
    325,463.52/488,214.24 = 125,814.72/x
  3. Step 3: Cross multiply
    325,463.52x = 488,214.24 × 125,814.72
  4. Step 4: Simplify right side
    325,463.52x = 61,424,537,905.61
  5. Step 5: Solve for x
    x = 61,424,537,905.61/325,463.52
  6. Step 6: Final answer
    x = 188,729.41

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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.