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Finding the Fourth Proportional to 409,021.84, 564,443.40 and 239,284.72

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Solution

The fourth proportional to 409,021.84, 564,443.40 and 239,284.72 is: 330,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,021.84 : 564,443.40 = 239,284.72 : x
  2. Step 2: Convert to fraction form
    409,021.84/564,443.40 = 239,284.72/x
  3. Step 3: Cross multiply
    409,021.84x = 564,443.40 × 239,284.72
  4. Step 4: Simplify right side
    409,021.84x = 135,062,680,924.85
  5. Step 5: Solve for x
    x = 135,062,680,924.85/409,021.84
  6. Step 6: Final answer
    x = 330,208.97

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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.