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Finding the Fourth Proportional to 380,170.52, 569,626.08 and 267,299.28

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Solution

The fourth proportional to 380,170.52, 569,626.08 and 267,299.28 is: 400,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,170.52 : 569,626.08 = 267,299.28 : x
  2. Step 2: Convert to fraction form
    380,170.52/569,626.08 = 267,299.28/x
  3. Step 3: Cross multiply
    380,170.52x = 569,626.08 × 267,299.28
  4. Step 4: Simplify right side
    380,170.52x = 152,260,641,053.22
  5. Step 5: Solve for x
    x = 152,260,641,053.22/380,170.52
  6. Step 6: Final answer
    x = 400,506.18

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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.