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Finding the Fourth Proportional to 471,552.37, 650,742.34 and 256,694.05

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Solution

The fourth proportional to 471,552.37, 650,742.34 and 256,694.05 is: 354,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,552.37 : 650,742.34 = 256,694.05 : x
  2. Step 2: Convert to fraction form
    471,552.37/650,742.34 = 256,694.05/x
  3. Step 3: Cross multiply
    471,552.37x = 650,742.34 × 256,694.05
  4. Step 4: Simplify right side
    471,552.37x = 167,041,683,753.65
  5. Step 5: Solve for x
    x = 167,041,683,753.65/471,552.37
  6. Step 6: Final answer
    x = 354,237.82

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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.