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Finding the Fourth Proportional to 510,843.15, 704,856.06 and 295,970.40

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Solution

The fourth proportional to 510,843.15, 704,856.06 and 295,970.40 is: 408,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,843.15 : 704,856.06 = 295,970.40 : x
  2. Step 2: Convert to fraction form
    510,843.15/704,856.06 = 295,970.40/x
  3. Step 3: Cross multiply
    510,843.15x = 704,856.06 × 295,970.40
  4. Step 4: Simplify right side
    510,843.15x = 208,616,530,020.62
  5. Step 5: Solve for x
    x = 208,616,530,020.62/510,843.15
  6. Step 6: Final answer
    x = 408,376.88

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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.