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Finding the Fourth Proportional to 341,493.41, 470,822.81 and 280,013.09

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Solution

The fourth proportional to 341,493.41, 470,822.81 and 280,013.09 is: 386,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,493.41 : 470,822.81 = 280,013.09 : x
  2. Step 2: Convert to fraction form
    341,493.41/470,822.81 = 280,013.09/x
  3. Step 3: Cross multiply
    341,493.41x = 470,822.81 × 280,013.09
  4. Step 4: Simplify right side
    341,493.41x = 131,836,548,216.50
  5. Step 5: Solve for x
    x = 131,836,548,216.50/341,493.41
  6. Step 6: Final answer
    x = 386,058.84

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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.