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Finding the Fourth Proportional to 543,808.60, 815,828.10 and 164,698.20

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Solution

The fourth proportional to 543,808.60, 815,828.10 and 164,698.20 is: 247,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,808.60 : 815,828.10 = 164,698.20 : x
  2. Step 2: Convert to fraction form
    543,808.60/815,828.10 = 164,698.20/x
  3. Step 3: Cross multiply
    543,808.60x = 815,828.10 × 164,698.20
  4. Step 4: Simplify right side
    543,808.60x = 134,365,419,579.42
  5. Step 5: Solve for x
    x = 134,365,419,579.42/543,808.60
  6. Step 6: Final answer
    x = 247,082.19

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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.