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Finding the Fourth Proportional to 456,464.62, 629,708.91 and 295,371.73

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Solution

The fourth proportional to 456,464.62, 629,708.91 and 295,371.73 is: 407,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,464.62 : 629,708.91 = 295,371.73 : x
  2. Step 2: Convert to fraction form
    456,464.62/629,708.91 = 295,371.73/x
  3. Step 3: Cross multiply
    456,464.62x = 629,708.91 × 295,371.73
  4. Step 4: Simplify right side
    456,464.62x = 185,998,210,143.11
  5. Step 5: Solve for x
    x = 185,998,210,143.11/456,464.62
  6. Step 6: Final answer
    x = 407,475.63

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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.