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Finding the Fourth Proportional to 519,788.34, 717,310.40 and 290,355.29

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Solution

The fourth proportional to 519,788.34, 717,310.40 and 290,355.29 is: 400,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,788.34 : 717,310.40 = 290,355.29 : x
  2. Step 2: Convert to fraction form
    519,788.34/717,310.40 = 290,355.29/x
  3. Step 3: Cross multiply
    519,788.34x = 717,310.40 × 290,355.29
  4. Step 4: Simplify right side
    519,788.34x = 208,274,872,531.72
  5. Step 5: Solve for x
    x = 208,274,872,531.72/519,788.34
  6. Step 6: Final answer
    x = 400,691.70

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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.