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Finding the Fourth Proportional to 511,410.38, 768,797.27 and 474,417.05

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Solution

The fourth proportional to 511,410.38, 768,797.27 and 474,417.05 is: 713,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,410.38 : 768,797.27 = 474,417.05 : x
  2. Step 2: Convert to fraction form
    511,410.38/768,797.27 = 474,417.05/x
  3. Step 3: Cross multiply
    511,410.38x = 768,797.27 × 474,417.05
  4. Step 4: Simplify right side
    511,410.38x = 364,730,530,223.51
  5. Step 5: Solve for x
    x = 364,730,530,223.51/511,410.38
  6. Step 6: Final answer
    x = 713,185.63

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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.