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Finding the Fourth Proportional to 704,359.94, 970,938.17 and 431,922.62

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Solution

The fourth proportional to 704,359.94, 970,938.17 and 431,922.62 is: 595,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,359.94 : 970,938.17 = 431,922.62 : x
  2. Step 2: Convert to fraction form
    704,359.94/970,938.17 = 431,922.62/x
  3. Step 3: Cross multiply
    704,359.94x = 970,938.17 × 431,922.62
  4. Step 4: Simplify right side
    704,359.94x = 419,370,151,230.10
  5. Step 5: Solve for x
    x = 419,370,151,230.10/704,359.94
  6. Step 6: Final answer
    x = 595,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.