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Finding the Fourth Proportional to 339,404.36, 506,625.38 and 314,734.28

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Solution

The fourth proportional to 339,404.36, 506,625.38 and 314,734.28 is: 469,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,404.36 : 506,625.38 = 314,734.28 : x
  2. Step 2: Convert to fraction form
    339,404.36/506,625.38 = 314,734.28/x
  3. Step 3: Cross multiply
    339,404.36x = 506,625.38 × 314,734.28
  4. Step 4: Simplify right side
    339,404.36x = 159,452,374,204.03
  5. Step 5: Solve for x
    x = 159,452,374,204.03/339,404.36
  6. Step 6: Final answer
    x = 469,800.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.