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Finding the Fourth Proportional to 407,338.64, 562,168.80 and 226,051.80

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Solution

The fourth proportional to 407,338.64, 562,168.80 and 226,051.80 is: 311,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,338.64 : 562,168.80 = 226,051.80 : x
  2. Step 2: Convert to fraction form
    407,338.64/562,168.80 = 226,051.80/x
  3. Step 3: Cross multiply
    407,338.64x = 562,168.80 × 226,051.80
  4. Step 4: Simplify right side
    407,338.64x = 127,079,269,143.84
  5. Step 5: Solve for x
    x = 127,079,269,143.84/407,338.64
  6. Step 6: Final answer
    x = 311,974.50

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1.5x scale

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.