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Finding the Fourth Proportional to 452,002.08, 677,981.16 and 167,748

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Solution

The fourth proportional to 452,002.08, 677,981.16 and 167,748 is: 251,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,002.08 : 677,981.16 = 167,748 : x
  2. Step 2: Convert to fraction form
    452,002.08/677,981.16 = 167,748/x
  3. Step 3: Cross multiply
    452,002.08x = 677,981.16 × 167,748
  4. Step 4: Simplify right side
    452,002.08x = 113,729,983,627.68
  5. Step 5: Solve for x
    x = 113,729,983,627.68/452,002.08
  6. Step 6: Final answer
    x = 251,613.85

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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.