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Finding the Fourth Proportional to 609,924.64, 914,886.78 and 294,996.64

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Solution

The fourth proportional to 609,924.64, 914,886.78 and 294,996.64 is: 442,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,924.64 : 914,886.78 = 294,996.64 : x
  2. Step 2: Convert to fraction form
    609,924.64/914,886.78 = 294,996.64/x
  3. Step 3: Cross multiply
    609,924.64x = 914,886.78 × 294,996.64
  4. Step 4: Simplify right side
    609,924.64x = 269,888,526,080.42
  5. Step 5: Solve for x
    x = 269,888,526,080.42/609,924.64
  6. Step 6: Final answer
    x = 442,494.87

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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.