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Finding the Fourth Proportional to 766,194.84, 1,149,462 and 233,756.64

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Solution

The fourth proportional to 766,194.84, 1,149,462 and 233,756.64 is: 350,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,194.84 : 1,149,462 = 233,756.64 : x
  2. Step 2: Convert to fraction form
    766,194.84/1,149,462 = 233,756.64/x
  3. Step 3: Cross multiply
    766,194.84x = 1,149,462 × 233,756.64
  4. Step 4: Simplify right side
    766,194.84x = 268,694,374,927.68
  5. Step 5: Solve for x
    x = 268,694,374,927.68/766,194.84
  6. Step 6: Final answer
    x = 350,686.75

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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.