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Finding the Fourth Proportional to 312,376.64, 430,757.57 and 267,204.16

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Solution

The fourth proportional to 312,376.64, 430,757.57 and 267,204.16 is: 368,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,376.64 : 430,757.57 = 267,204.16 : x
  2. Step 2: Convert to fraction form
    312,376.64/430,757.57 = 267,204.16/x
  3. Step 3: Cross multiply
    312,376.64x = 430,757.57 × 267,204.16
  4. Step 4: Simplify right side
    312,376.64x = 115,100,214,655.49
  5. Step 5: Solve for x
    x = 115,100,214,655.49/312,376.64
  6. Step 6: Final answer
    x = 368,466.14

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1.5x scale

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.