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Finding the Fourth Proportional to 534,775.82, 802,164.81 and 219,176.06

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Solution

The fourth proportional to 534,775.82, 802,164.81 and 219,176.06 is: 328,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,775.82 : 802,164.81 = 219,176.06 : x
  2. Step 2: Convert to fraction form
    534,775.82/802,164.81 = 219,176.06/x
  3. Step 3: Cross multiply
    534,775.82x = 802,164.81 × 219,176.06
  4. Step 4: Simplify right side
    534,775.82x = 175,815,322,526.45
  5. Step 5: Solve for x
    x = 175,815,322,526.45/534,775.82
  6. Step 6: Final answer
    x = 328,764.53

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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.