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Finding the Fourth Proportional to 417,684.89, 576,405.70 and 226,698.30

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Solution

The fourth proportional to 417,684.89, 576,405.70 and 226,698.30 is: 312,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,684.89 : 576,405.70 = 226,698.30 : x
  2. Step 2: Convert to fraction form
    417,684.89/576,405.70 = 226,698.30/x
  3. Step 3: Cross multiply
    417,684.89x = 576,405.70 × 226,698.30
  4. Step 4: Simplify right side
    417,684.89x = 130,670,191,733.56
  5. Step 5: Solve for x
    x = 130,670,191,733.56/417,684.89
  6. Step 6: Final answer
    x = 312,843.96

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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.