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Finding the Fourth Proportional to 474,774.42, 712,161.61 and 159,230.42

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Solution

The fourth proportional to 474,774.42, 712,161.61 and 159,230.42 is: 238,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,774.42 : 712,161.61 = 159,230.42 : x
  2. Step 2: Convert to fraction form
    474,774.42/712,161.61 = 159,230.42/x
  3. Step 3: Cross multiply
    474,774.42x = 712,161.61 × 159,230.42
  4. Step 4: Simplify right side
    474,774.42x = 113,397,788,309.29
  5. Step 5: Solve for x
    x = 113,397,788,309.29/474,774.42
  6. Step 6: Final answer
    x = 238,845.61

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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.