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Finding the Fourth Proportional to 407,334.64, 562,098 and 226,033.52

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Solution

The fourth proportional to 407,334.64, 562,098 and 226,033.52 is: 311,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,334.64 : 562,098 = 226,033.52 : x
  2. Step 2: Convert to fraction form
    407,334.64/562,098 = 226,033.52/x
  3. Step 3: Cross multiply
    407,334.64x = 562,098 × 226,033.52
  4. Step 4: Simplify right side
    407,334.64x = 127,052,989,524.96
  5. Step 5: Solve for x
    x = 127,052,989,524.96/407,334.64
  6. Step 6: Final answer
    x = 311,913.05

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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.