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Finding the Fourth Proportional to 412,516.67, 568,208.12 and 291,447.72

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Solution

The fourth proportional to 412,516.67, 568,208.12 and 291,447.72 is: 401,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,516.67 : 568,208.12 = 291,447.72 : x
  2. Step 2: Convert to fraction form
    412,516.67/568,208.12 = 291,447.72/x
  3. Step 3: Cross multiply
    412,516.67x = 568,208.12 × 291,447.72
  4. Step 4: Simplify right side
    412,516.67x = 165,602,959,602.25
  5. Step 5: Solve for x
    x = 165,602,959,602.25/412,516.67
  6. Step 6: Final answer
    x = 401,445.50

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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.