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Finding the Fourth Proportional to 409,608.84, 565,272.18 and 239,827.08

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Solution

The fourth proportional to 409,608.84, 565,272.18 and 239,827.08 is: 330,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,608.84 : 565,272.18 = 239,827.08 : x
  2. Step 2: Convert to fraction form
    409,608.84/565,272.18 = 239,827.08/x
  3. Step 3: Cross multiply
    409,608.84x = 565,272.18 × 239,827.08
  4. Step 4: Simplify right side
    409,608.84x = 135,567,576,334.63
  5. Step 5: Solve for x
    x = 135,567,576,334.63/409,608.84
  6. Step 6: Final answer
    x = 330,968.39

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Why These Related Problems?

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