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Finding the Fourth Proportional to 547,508.64, 821,262.92 and 173,531.64

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Solution

The fourth proportional to 547,508.64, 821,262.92 and 173,531.64 is: 260,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,508.64 : 821,262.92 = 173,531.64 : x
  2. Step 2: Convert to fraction form
    547,508.64/821,262.92 = 173,531.64/x
  3. Step 3: Cross multiply
    547,508.64x = 821,262.92 × 173,531.64
  4. Step 4: Simplify right side
    547,508.64x = 142,515,101,378.79
  5. Step 5: Solve for x
    x = 142,515,101,378.79/547,508.64
  6. Step 6: Final answer
    x = 260,297.45

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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.