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Finding the Fourth Proportional to 529,856.64, 794,778.24 and 214,310.40

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Solution

The fourth proportional to 529,856.64, 794,778.24 and 214,310.40 is: 321,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,856.64 : 794,778.24 = 214,310.40 : x
  2. Step 2: Convert to fraction form
    529,856.64/794,778.24 = 214,310.40/x
  3. Step 3: Cross multiply
    529,856.64x = 794,778.24 × 214,310.40
  4. Step 4: Simplify right side
    529,856.64x = 170,329,242,525.70
  5. Step 5: Solve for x
    x = 170,329,242,525.70/529,856.64
  6. Step 6: Final answer
    x = 321,462.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.