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Finding the Fourth Proportional to 409,603.84, 565,265.28 and 239,822.08

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Solution

The fourth proportional to 409,603.84, 565,265.28 and 239,822.08 is: 330,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,603.84 : 565,265.28 = 239,822.08 : x
  2. Step 2: Convert to fraction form
    409,603.84/565,265.28 = 239,822.08/x
  3. Step 3: Cross multiply
    409,603.84x = 565,265.28 × 239,822.08
  4. Step 4: Simplify right side
    409,603.84x = 135,563,095,201.38
  5. Step 5: Solve for x
    x = 135,563,095,201.38/409,603.84
  6. Step 6: Final answer
    x = 330,961.49

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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.