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Finding the Fourth Proportional to 565,806.20, 780,796.96 and 311,157.38

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Solution

The fourth proportional to 565,806.20, 780,796.96 and 311,157.38 is: 429,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,806.20 : 780,796.96 = 311,157.38 : x
  2. Step 2: Convert to fraction form
    565,806.20/780,796.96 = 311,157.38/x
  3. Step 3: Cross multiply
    565,806.20x = 780,796.96 × 311,157.38
  4. Step 4: Simplify right side
    565,806.20x = 242,950,736,385.57
  5. Step 5: Solve for x
    x = 242,950,736,385.57/565,806.20
  6. Step 6: Final answer
    x = 429,388.61

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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.