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Finding the Fourth Proportional to 541,340.84, 811,642.20 and 274,587

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Solution

The fourth proportional to 541,340.84, 811,642.20 and 274,587 is: 411,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,340.84 : 811,642.20 = 274,587 : x
  2. Step 2: Convert to fraction form
    541,340.84/811,642.20 = 274,587/x
  3. Step 3: Cross multiply
    541,340.84x = 811,642.20 × 274,587
  4. Step 4: Simplify right side
    541,340.84x = 222,866,396,771.40
  5. Step 5: Solve for x
    x = 222,866,396,771.40/541,340.84
  6. Step 6: Final answer
    x = 411,693.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.