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Finding the Fourth Proportional to 374,498.10, 561,747.15 and 164,546.10

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Solution

The fourth proportional to 374,498.10, 561,747.15 and 164,546.10 is: 246,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,498.10 : 561,747.15 = 164,546.10 : x
  2. Step 2: Convert to fraction form
    374,498.10/561,747.15 = 164,546.10/x
  3. Step 3: Cross multiply
    374,498.10x = 561,747.15 × 164,546.10
  4. Step 4: Simplify right side
    374,498.10x = 92,433,302,718.62
  5. Step 5: Solve for x
    x = 92,433,302,718.62/374,498.10
  6. Step 6: Final answer
    x = 246,819.15

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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.