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Finding the Fourth Proportional to 441,583.84, 609,057.12 and 280,298.80

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Solution

The fourth proportional to 441,583.84, 609,057.12 and 280,298.80 is: 386,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,583.84 : 609,057.12 = 280,298.80 : x
  2. Step 2: Convert to fraction form
    441,583.84/609,057.12 = 280,298.80/x
  3. Step 3: Cross multiply
    441,583.84x = 609,057.12 × 280,298.80
  4. Step 4: Simplify right side
    441,583.84x = 170,717,979,867.46
  5. Step 5: Solve for x
    x = 170,717,979,867.46/441,583.84
  6. Step 6: Final answer
    x = 386,603.78

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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.