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Finding the Fourth Proportional to 466,580.40, 699,352.20 and 200,295.60

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Solution

The fourth proportional to 466,580.40, 699,352.20 and 200,295.60 is: 300,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,580.40 : 699,352.20 = 200,295.60 : x
  2. Step 2: Convert to fraction form
    466,580.40/699,352.20 = 200,295.60/x
  3. Step 3: Cross multiply
    466,580.40x = 699,352.20 × 200,295.60
  4. Step 4: Simplify right side
    466,580.40x = 140,077,168,510.32
  5. Step 5: Solve for x
    x = 140,077,168,510.32/466,580.40
  6. Step 6: Final answer
    x = 300,220.86

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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.