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Finding the Fourth Proportional to 471,733.84, 650,970.52 and 256,873.24

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Solution

The fourth proportional to 471,733.84, 650,970.52 and 256,873.24 is: 354,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,733.84 : 650,970.52 = 256,873.24 : x
  2. Step 2: Convert to fraction form
    471,733.84/650,970.52 = 256,873.24/x
  3. Step 3: Cross multiply
    471,733.84x = 650,970.52 × 256,873.24
  4. Step 4: Simplify right side
    471,733.84x = 167,216,906,616.89
  5. Step 5: Solve for x
    x = 167,216,906,616.89/471,733.84
  6. Step 6: Final answer
    x = 354,472.99

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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.