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Finding the Fourth Proportional to 701,673.84, 968,126.92 and 411,129.31

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Solution

The fourth proportional to 701,673.84, 968,126.92 and 411,129.31 is: 567,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,673.84 : 968,126.92 = 411,129.31 : x
  2. Step 2: Convert to fraction form
    701,673.84/968,126.92 = 411,129.31/x
  3. Step 3: Cross multiply
    701,673.84x = 968,126.92 × 411,129.31
  4. Step 4: Simplify right side
    701,673.84x = 398,025,349,163.89
  5. Step 5: Solve for x
    x = 398,025,349,163.89/701,673.84
  6. Step 6: Final answer
    x = 567,251.23

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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.