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Finding the Fourth Proportional to 463,327.97, 695,004.09 and 159,718.91

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Solution

The fourth proportional to 463,327.97, 695,004.09 and 159,718.91 is: 239,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,327.97 : 695,004.09 = 159,718.91 : x
  2. Step 2: Convert to fraction form
    463,327.97/695,004.09 = 159,718.91/x
  3. Step 3: Cross multiply
    463,327.97x = 695,004.09 × 159,718.91
  4. Step 4: Simplify right side
    463,327.97x = 111,005,292,225.32
  5. Step 5: Solve for x
    x = 111,005,292,225.32/463,327.97
  6. Step 6: Final answer
    x = 239,582.54

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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.