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Finding the Fourth Proportional to 405,447.54, 559,516.21 and 226,599.54

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Solution

The fourth proportional to 405,447.54, 559,516.21 and 226,599.54 is: 312,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,447.54 : 559,516.21 = 226,599.54 : x
  2. Step 2: Convert to fraction form
    405,447.54/559,516.21 = 226,599.54/x
  3. Step 3: Cross multiply
    405,447.54x = 559,516.21 × 226,599.54
  4. Step 4: Simplify right side
    405,447.54x = 126,786,115,808.54
  5. Step 5: Solve for x
    x = 126,786,115,808.54/405,447.54
  6. Step 6: Final answer
    x = 312,706.59

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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.