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Finding the Fourth Proportional to 407,551.64, 562,439.43 and 226,266.08

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Solution

The fourth proportional to 407,551.64, 562,439.43 and 226,266.08 is: 312,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,551.64 : 562,439.43 = 226,266.08 : x
  2. Step 2: Convert to fraction form
    407,551.64/562,439.43 = 226,266.08/x
  3. Step 3: Cross multiply
    407,551.64x = 562,439.43 × 226,266.08
  4. Step 4: Simplify right side
    407,551.64x = 127,260,962,251.34
  5. Step 5: Solve for x
    x = 127,260,962,251.34/407,551.64
  6. Step 6: Final answer
    x = 312,257.27

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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.