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Finding the Fourth Proportional to 219,022.70, 328,534.05 and 196,904.30

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Solution

The fourth proportional to 219,022.70, 328,534.05 and 196,904.30 is: 295,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022.70 : 328,534.05 = 196,904.30 : x
  2. Step 2: Convert to fraction form
    219,022.70/328,534.05 = 196,904.30/x
  3. Step 3: Cross multiply
    219,022.70x = 328,534.05 × 196,904.30
  4. Step 4: Simplify right side
    219,022.70x = 64,689,767,141.42
  5. Step 5: Solve for x
    x = 64,689,767,141.42/219,022.70
  6. Step 6: Final answer
    x = 295,356.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.