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Finding the Fourth Proportional to 447,796.92, 616,908.64 and 311,596.64

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Solution

The fourth proportional to 447,796.92, 616,908.64 and 311,596.64 is: 429,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,796.92 : 616,908.64 = 311,596.64 : x
  2. Step 2: Convert to fraction form
    447,796.92/616,908.64 = 311,596.64/x
  3. Step 3: Cross multiply
    447,796.92x = 616,908.64 × 311,596.64
  4. Step 4: Simplify right side
    447,796.92x = 192,226,659,410.97
  5. Step 5: Solve for x
    x = 192,226,659,410.97/447,796.92
  6. Step 6: Final answer
    x = 429,271.96

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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.