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Finding the Fourth Proportional to 407,406.62, 562,247.41 and 226,118.56

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Solution

The fourth proportional to 407,406.62, 562,247.41 and 226,118.56 is: 312,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,406.62 : 562,247.41 = 226,118.56 : x
  2. Step 2: Convert to fraction form
    407,406.62/562,247.41 = 226,118.56/x
  3. Step 3: Cross multiply
    407,406.62x = 562,247.41 × 226,118.56
  4. Step 4: Simplify right side
    407,406.62x = 127,134,574,712.93
  5. Step 5: Solve for x
    x = 127,134,574,712.93/407,406.62
  6. Step 6: Final answer
    x = 312,058.20

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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.