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Finding the Fourth Proportional to 496,297.65, 684,343.65 and 343,069.83

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Solution

The fourth proportional to 496,297.65, 684,343.65 and 343,069.83 is: 473,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,297.65 : 684,343.65 = 343,069.83 : x
  2. Step 2: Convert to fraction form
    496,297.65/684,343.65 = 343,069.83/x
  3. Step 3: Cross multiply
    496,297.65x = 684,343.65 × 343,069.83
  4. Step 4: Simplify right side
    496,297.65x = 234,777,659,667.08
  5. Step 5: Solve for x
    x = 234,777,659,667.08/496,297.65
  6. Step 6: Final answer
    x = 473,058.17

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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.