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Finding the Fourth Proportional to 475,077, 655,587 and 284,195.88

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Solution

The fourth proportional to 475,077, 655,587 and 284,195.88 is: 392,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,077 : 655,587 = 284,195.88 : x
  2. Step 2: Convert to fraction form
    475,077/655,587 = 284,195.88/x
  3. Step 3: Cross multiply
    475,077x = 655,587 × 284,195.88
  4. Step 4: Simplify right side
    475,077x = 186,315,124,381.56
  5. Step 5: Solve for x
    x = 186,315,124,381.56/475,077
  6. Step 6: Final answer
    x = 392,178.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.