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Finding the Fourth Proportional to 475,474.05, 656,221.38 and 294,244.32

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Solution

The fourth proportional to 475,474.05, 656,221.38 and 294,244.32 is: 406,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,474.05 : 656,221.38 = 294,244.32 : x
  2. Step 2: Convert to fraction form
    475,474.05/656,221.38 = 294,244.32/x
  3. Step 3: Cross multiply
    475,474.05x = 656,221.38 × 294,244.32
  4. Step 4: Simplify right side
    475,474.05x = 193,089,413,727.56
  5. Step 5: Solve for x
    x = 193,089,413,727.56/475,474.05
  6. Step 6: Final answer
    x = 406,098.74

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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.