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Finding the Fourth Proportional to 600,258.57, 900,293.89 and 200,896.17

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Solution

The fourth proportional to 600,258.57, 900,293.89 and 200,896.17 is: 301,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,258.57 : 900,293.89 = 200,896.17 : x
  2. Step 2: Convert to fraction form
    600,258.57/900,293.89 = 200,896.17/x
  3. Step 3: Cross multiply
    600,258.57x = 900,293.89 × 200,896.17
  4. Step 4: Simplify right side
    600,258.57x = 180,865,594,375.40
  5. Step 5: Solve for x
    x = 180,865,594,375.40/600,258.57
  6. Step 6: Final answer
    x = 301,312.81

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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.