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Finding the Fourth Proportional to 577,827.60, 866,806.20 and 178,465.20

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Solution

The fourth proportional to 577,827.60, 866,806.20 and 178,465.20 is: 267,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,827.60 : 866,806.20 = 178,465.20 : x
  2. Step 2: Convert to fraction form
    577,827.60/866,806.20 = 178,465.20/x
  3. Step 3: Cross multiply
    577,827.60x = 866,806.20 × 178,465.20
  4. Step 4: Simplify right side
    577,827.60x = 154,694,741,844.24
  5. Step 5: Solve for x
    x = 154,694,741,844.24/577,827.60
  6. Step 6: Final answer
    x = 267,717.81

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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.