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Finding the Fourth Proportional to 496,080.84, 684,471.66 and 314,727.50

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Solution

The fourth proportional to 496,080.84, 684,471.66 and 314,727.50 is: 434,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,080.84 : 684,471.66 = 314,727.50 : x
  2. Step 2: Convert to fraction form
    496,080.84/684,471.66 = 314,727.50/x
  3. Step 3: Cross multiply
    496,080.84x = 684,471.66 × 314,727.50
  4. Step 4: Simplify right side
    496,080.84x = 215,422,054,372.65
  5. Step 5: Solve for x
    x = 215,422,054,372.65/496,080.84
  6. Step 6: Final answer
    x = 434,247.88

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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.