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Finding the Fourth Proportional to 409,605.84, 565,268.04 and 239,824.08

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Solution

The fourth proportional to 409,605.84, 565,268.04 and 239,824.08 is: 330,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,605.84 : 565,268.04 = 239,824.08 : x
  2. Step 2: Convert to fraction form
    409,605.84/565,268.04 = 239,824.08/x
  3. Step 3: Cross multiply
    409,605.84x = 565,268.04 × 239,824.08
  4. Step 4: Simplify right side
    409,605.84x = 135,564,887,646.40
  5. Step 5: Solve for x
    x = 135,564,887,646.40/409,605.84
  6. Step 6: Final answer
    x = 330,964.25

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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.