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Finding the Fourth Proportional to 296,753.37, 445,574.75 and 256,895.30

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Solution

The fourth proportional to 296,753.37, 445,574.75 and 256,895.30 is: 385,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.37 : 445,574.75 = 256,895.30 : x
  2. Step 2: Convert to fraction form
    296,753.37/445,574.75 = 256,895.30/x
  3. Step 3: Cross multiply
    296,753.37x = 445,574.75 × 256,895.30
  4. Step 4: Simplify right side
    296,753.37x = 114,466,059,073.68
  5. Step 5: Solve for x
    x = 114,466,059,073.68/296,753.37
  6. Step 6: Final answer
    x = 385,727.92

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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.