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Finding the Fourth Proportional to 409,095.04, 564,555.36 and 239,296

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Solution

The fourth proportional to 409,095.04, 564,555.36 and 239,296 is: 330,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,095.04 : 564,555.36 = 239,296 : x
  2. Step 2: Convert to fraction form
    409,095.04/564,555.36 = 239,296/x
  3. Step 3: Cross multiply
    409,095.04x = 564,555.36 × 239,296
  4. Step 4: Simplify right side
    409,095.04x = 135,095,839,426.56
  5. Step 5: Solve for x
    x = 135,095,839,426.56/409,095.04
  6. Step 6: Final answer
    x = 330,230.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.