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Finding the Fourth Proportional to 297,724.80, 446,068.80 and 256,252.80

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Solution

The fourth proportional to 297,724.80, 446,068.80 and 256,252.80 is: 383,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,724.80 : 446,068.80 = 256,252.80 : x
  2. Step 2: Convert to fraction form
    297,724.80/446,068.80 = 256,252.80/x
  3. Step 3: Cross multiply
    297,724.80x = 446,068.80 × 256,252.80
  4. Step 4: Simplify right side
    297,724.80x = 114,306,378,992.64
  5. Step 5: Solve for x
    x = 114,306,378,992.64/297,724.80
  6. Step 6: Final answer
    x = 383,933.01

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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.