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Finding the Fourth Proportional to 512,734.96, 707,588.50 and 283,307.02

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Solution

The fourth proportional to 512,734.96, 707,588.50 and 283,307.02 is: 390,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,734.96 : 707,588.50 = 283,307.02 : x
  2. Step 2: Convert to fraction form
    512,734.96/707,588.50 = 283,307.02/x
  3. Step 3: Cross multiply
    512,734.96x = 707,588.50 × 283,307.02
  4. Step 4: Simplify right side
    512,734.96x = 200,464,789,321.27
  5. Step 5: Solve for x
    x = 200,464,789,321.27/512,734.96
  6. Step 6: Final answer
    x = 390,971.56

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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.