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Finding the Fourth Proportional to 462,827.68, 694,256.80 and 159,218.80

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Solution

The fourth proportional to 462,827.68, 694,256.80 and 159,218.80 is: 238,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,827.68 : 694,256.80 = 159,218.80 : x
  2. Step 2: Convert to fraction form
    462,827.68/694,256.80 = 159,218.80/x
  3. Step 3: Cross multiply
    462,827.68x = 694,256.80 × 159,218.80
  4. Step 4: Simplify right side
    462,827.68x = 110,538,734,587.84
  5. Step 5: Solve for x
    x = 110,538,734,587.84/462,827.68
  6. Step 6: Final answer
    x = 238,833.46

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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.