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Finding the Fourth Proportional to 412,400.70, 568,950.59 and 257,261.72

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Solution

The fourth proportional to 412,400.70, 568,950.59 and 257,261.72 is: 354,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,400.70 : 568,950.59 = 257,261.72 : x
  2. Step 2: Convert to fraction form
    412,400.70/568,950.59 = 257,261.72/x
  3. Step 3: Cross multiply
    412,400.70x = 568,950.59 × 257,261.72
  4. Step 4: Simplify right side
    412,400.70x = 146,369,205,176.82
  5. Step 5: Solve for x
    x = 146,369,205,176.82/412,400.70
  6. Step 6: Final answer
    x = 354,919.88

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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.