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Finding the Fourth Proportional to 463,310.93, 695,415.80 and 223,593.56

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Solution

The fourth proportional to 463,310.93, 695,415.80 and 223,593.56 is: 335,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,310.93 : 695,415.80 = 223,593.56 : x
  2. Step 2: Convert to fraction form
    463,310.93/695,415.80 = 223,593.56/x
  3. Step 3: Cross multiply
    463,310.93x = 695,415.80 × 223,593.56
  4. Step 4: Simplify right side
    463,310.93x = 155,490,489,807.20
  5. Step 5: Solve for x
    x = 155,490,489,807.20/463,310.93
  6. Step 6: Final answer
    x = 335,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.