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Finding the Fourth Proportional to 407,447.70, 562,251.24 and 226,150.98

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Solution

The fourth proportional to 407,447.70, 562,251.24 and 226,150.98 is: 312,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,447.70 : 562,251.24 = 226,150.98 : x
  2. Step 2: Convert to fraction form
    407,447.70/562,251.24 = 226,150.98/x
  3. Step 3: Cross multiply
    407,447.70x = 562,251.24 × 226,150.98
  4. Step 4: Simplify right side
    407,447.70x = 127,153,668,932.22
  5. Step 5: Solve for x
    x = 127,153,668,932.22/407,447.70
  6. Step 6: Final answer
    x = 312,073.60

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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.