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Finding the Fourth Proportional to 532,461.97, 799,078.34 and 208,297.88

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Solution

The fourth proportional to 532,461.97, 799,078.34 and 208,297.88 is: 312,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,461.97 : 799,078.34 = 208,297.88 : x
  2. Step 2: Convert to fraction form
    532,461.97/799,078.34 = 208,297.88/x
  3. Step 3: Cross multiply
    532,461.97x = 799,078.34 × 208,297.88
  4. Step 4: Simplify right side
    532,461.97x = 166,446,324,175.92
  5. Step 5: Solve for x
    x = 166,446,324,175.92/532,461.97
  6. Step 6: Final answer
    x = 312,597.58

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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.