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Finding the Fourth Proportional to 650,206.92, 897,286.32 and 359,830.53

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Solution

The fourth proportional to 650,206.92, 897,286.32 and 359,830.53 is: 496,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,206.92 : 897,286.32 = 359,830.53 : x
  2. Step 2: Convert to fraction form
    650,206.92/897,286.32 = 359,830.53/x
  3. Step 3: Cross multiply
    650,206.92x = 897,286.32 × 359,830.53
  4. Step 4: Simplify right side
    650,206.92x = 322,871,012,087.35
  5. Step 5: Solve for x
    x = 322,871,012,087.35/650,206.92
  6. Step 6: Final answer
    x = 496,566.56

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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.