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Finding the Fourth Proportional to 529,451.64, 794,275.92 and 214,129.80

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Solution

The fourth proportional to 529,451.64, 794,275.92 and 214,129.80 is: 321,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,451.64 : 794,275.92 = 214,129.80 : x
  2. Step 2: Convert to fraction form
    529,451.64/794,275.92 = 214,129.80/x
  3. Step 3: Cross multiply
    529,451.64x = 794,275.92 × 214,129.80
  4. Step 4: Simplify right side
    529,451.64x = 170,078,143,894.42
  5. Step 5: Solve for x
    x = 170,078,143,894.42/529,451.64
  6. Step 6: Final answer
    x = 321,234.52

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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.