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Finding the Fourth Proportional to 416,404.19, 624,606.20 and 227,023.83

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Solution

The fourth proportional to 416,404.19, 624,606.20 and 227,023.83 is: 340,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,404.19 : 624,606.20 = 227,023.83 : x
  2. Step 2: Convert to fraction form
    416,404.19/624,606.20 = 227,023.83/x
  3. Step 3: Cross multiply
    416,404.19x = 624,606.20 × 227,023.83
  4. Step 4: Simplify right side
    416,404.19x = 141,800,493,118.74
  5. Step 5: Solve for x
    x = 141,800,493,118.74/416,404.19
  6. Step 6: Final answer
    x = 340,535.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.