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Finding the Fourth Proportional to 297,713.70, 446,570.55 and 274,904.10

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Solution

The fourth proportional to 297,713.70, 446,570.55 and 274,904.10 is: 412,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.70 : 446,570.55 = 274,904.10 : x
  2. Step 2: Convert to fraction form
    297,713.70/446,570.55 = 274,904.10/x
  3. Step 3: Cross multiply
    297,713.70x = 446,570.55 × 274,904.10
  4. Step 4: Simplify right side
    297,713.70x = 122,764,075,134.26
  5. Step 5: Solve for x
    x = 122,764,075,134.26/297,713.70
  6. Step 6: Final answer
    x = 412,356.15

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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.