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Finding the Fourth Proportional to 468,528.32, 646,401.12 and 267,207.68

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Solution

The fourth proportional to 468,528.32, 646,401.12 and 267,207.68 is: 368,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,528.32 : 646,401.12 = 267,207.68 : x
  2. Step 2: Convert to fraction form
    468,528.32/646,401.12 = 267,207.68/x
  3. Step 3: Cross multiply
    468,528.32x = 646,401.12 × 267,207.68
  4. Step 4: Simplify right side
    468,528.32x = 172,723,343,624.60
  5. Step 5: Solve for x
    x = 172,723,343,624.60/468,528.32
  6. Step 6: Final answer
    x = 368,650.81

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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.