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Finding the Fourth Proportional to 577,874.20, 866,903.64 and 178,421.08

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Solution

The fourth proportional to 577,874.20, 866,903.64 and 178,421.08 is: 267,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,874.20 : 866,903.64 = 178,421.08 : x
  2. Step 2: Convert to fraction form
    577,874.20/866,903.64 = 178,421.08/x
  3. Step 3: Cross multiply
    577,874.20x = 866,903.64 × 178,421.08
  4. Step 4: Simplify right side
    577,874.20x = 154,673,883,704.73
  5. Step 5: Solve for x
    x = 154,673,883,704.73/577,874.20
  6. Step 6: Final answer
    x = 267,660.13

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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.