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Finding the Fourth Proportional to 431,923.68, 648,072.64 and 232,010.82

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Solution

The fourth proportional to 431,923.68, 648,072.64 and 232,010.82 is: 348,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,923.68 : 648,072.64 = 232,010.82 : x
  2. Step 2: Convert to fraction form
    431,923.68/648,072.64 = 232,010.82/x
  3. Step 3: Cross multiply
    431,923.68x = 648,072.64 × 232,010.82
  4. Step 4: Simplify right side
    431,923.68x = 150,359,864,625.97
  5. Step 5: Solve for x
    x = 150,359,864,625.97/431,923.68
  6. Step 6: Final answer
    x = 348,116.74

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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.