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Finding the Fourth Proportional to 397,300.80, 594,967.05 and 254,927.10

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Solution

The fourth proportional to 397,300.80, 594,967.05 and 254,927.10 is: 381,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,300.80 : 594,967.05 = 254,927.10 : x
  2. Step 2: Convert to fraction form
    397,300.80/594,967.05 = 254,927.10/x
  3. Step 3: Cross multiply
    397,300.80x = 594,967.05 × 254,927.10
  4. Step 4: Simplify right side
    397,300.80x = 151,673,224,652.06
  5. Step 5: Solve for x
    x = 151,673,224,652.06/397,300.80
  6. Step 6: Final answer
    x = 381,759.17

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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.