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Finding the Fourth Proportional to 507,326.50, 700,082.49 and 280,954.18

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Solution

The fourth proportional to 507,326.50, 700,082.49 and 280,954.18 is: 387,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,326.50 : 700,082.49 = 280,954.18 : x
  2. Step 2: Convert to fraction form
    507,326.50/700,082.49 = 280,954.18/x
  3. Step 3: Cross multiply
    507,326.50x = 700,082.49 × 280,954.18
  4. Step 4: Simplify right side
    507,326.50x = 196,691,101,910.31
  5. Step 5: Solve for x
    x = 196,691,101,910.31/507,326.50
  6. Step 6: Final answer
    x = 387,701.22

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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.