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Finding the Fourth Proportional to 431,919.68, 648,066.64 and 232,006.82

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Solution

The fourth proportional to 431,919.68, 648,066.64 and 232,006.82 is: 348,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,919.68 : 648,066.64 = 232,006.82 : x
  2. Step 2: Convert to fraction form
    431,919.68/648,066.64 = 232,006.82/x
  3. Step 3: Cross multiply
    431,919.68x = 648,066.64 × 232,006.82
  4. Step 4: Simplify right side
    431,919.68x = 150,355,880,294.49
  5. Step 5: Solve for x
    x = 150,355,880,294.49/431,919.68
  6. Step 6: Final answer
    x = 348,110.74

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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.