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Finding the Fourth Proportional to 650,593.82, 897,824.04 and 364,140.56

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Solution

The fourth proportional to 650,593.82, 897,824.04 and 364,140.56 is: 502,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,593.82 : 897,824.04 = 364,140.56 : x
  2. Step 2: Convert to fraction form
    650,593.82/897,824.04 = 364,140.56/x
  3. Step 3: Cross multiply
    650,593.82x = 897,824.04 × 364,140.56
  4. Step 4: Simplify right side
    650,593.82x = 326,934,148,707.06
  5. Step 5: Solve for x
    x = 326,934,148,707.06/650,593.82
  6. Step 6: Final answer
    x = 502,516.53

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Why These Related Problems?

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