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Finding the Fourth Proportional to 353,165.80, 529,748.70 and 213,197.80

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Solution

The fourth proportional to 353,165.80, 529,748.70 and 213,197.80 is: 319,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,165.80 : 529,748.70 = 213,197.80 : x
  2. Step 2: Convert to fraction form
    353,165.80/529,748.70 = 213,197.80/x
  3. Step 3: Cross multiply
    353,165.80x = 529,748.70 × 213,197.80
  4. Step 4: Simplify right side
    353,165.80x = 112,941,257,392.86
  5. Step 5: Solve for x
    x = 112,941,257,392.86/353,165.80
  6. Step 6: Final answer
    x = 319,796.70

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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.