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Finding the Fourth Proportional to 471,524.56, 650,718.57 and 256,678.95

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Solution

The fourth proportional to 471,524.56, 650,718.57 and 256,678.95 is: 354,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,524.56 : 650,718.57 = 256,678.95 : x
  2. Step 2: Convert to fraction form
    471,524.56/650,718.57 = 256,678.95/x
  3. Step 3: Cross multiply
    471,524.56x = 650,718.57 × 256,678.95
  4. Step 4: Simplify right side
    471,524.56x = 167,025,759,293.10
  5. Step 5: Solve for x
    x = 167,025,759,293.10/471,524.56
  6. Step 6: Final answer
    x = 354,224.94

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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.