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Finding the Fourth Proportional to 897,764.17, 1,347,141.96 and 365,659.78

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Solution

The fourth proportional to 897,764.17, 1,347,141.96 and 365,659.78 is: 548,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,764.17 : 1,347,141.96 = 365,659.78 : x
  2. Step 2: Convert to fraction form
    897,764.17/1,347,141.96 = 365,659.78/x
  3. Step 3: Cross multiply
    897,764.17x = 1,347,141.96 × 365,659.78
  4. Step 4: Simplify right side
    897,764.17x = 492,595,632,722.37
  5. Step 5: Solve for x
    x = 492,595,632,722.37/897,764.17
  6. Step 6: Final answer
    x = 548,691.57

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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.