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Finding the Fourth Proportional to 508,044.26, 701,417.94 and 327,069.74

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Solution

The fourth proportional to 508,044.26, 701,417.94 and 327,069.74 is: 451,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,044.26 : 701,417.94 = 327,069.74 : x
  2. Step 2: Convert to fraction form
    508,044.26/701,417.94 = 327,069.74/x
  3. Step 3: Cross multiply
    508,044.26x = 701,417.94 × 327,069.74
  4. Step 4: Simplify right side
    508,044.26x = 229,412,583,267.14
  5. Step 5: Solve for x
    x = 229,412,583,267.14/508,044.26
  6. Step 6: Final answer
    x = 451,560.23

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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.