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Finding the Fourth Proportional to 517,523.42, 714,175.00 and 291,168.38

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Solution

The fourth proportional to 517,523.42, 714,175.00 and 291,168.38 is: 401,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,523.42 : 714,175.00 = 291,168.38 : x
  2. Step 2: Convert to fraction form
    517,523.42/714,175.00 = 291,168.38/x
  3. Step 3: Cross multiply
    517,523.42x = 714,175.00 × 291,168.38
  4. Step 4: Simplify right side
    517,523.42x = 207,945,173,487.70
  5. Step 5: Solve for x
    x = 207,945,173,487.70/517,523.42
  6. Step 6: Final answer
    x = 401,808.24

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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.