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Finding the Fourth Proportional to 701,182.75, 967,471.54 and 442,749.06

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Solution

The fourth proportional to 701,182.75, 967,471.54 and 442,749.06 is: 610,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,182.75 : 967,471.54 = 442,749.06 : x
  2. Step 2: Convert to fraction form
    701,182.75/967,471.54 = 442,749.06/x
  3. Step 3: Cross multiply
    701,182.75x = 967,471.54 × 442,749.06
  4. Step 4: Simplify right side
    701,182.75x = 428,347,110,074.40
  5. Step 5: Solve for x
    x = 428,347,110,074.40/701,182.75
  6. Step 6: Final answer
    x = 610,892.25

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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.