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Finding the Fourth Proportional to 214,697.40, 322,046.10 and 56,941.80

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Solution

The fourth proportional to 214,697.40, 322,046.10 and 56,941.80 is: 85,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,697.40 : 322,046.10 = 56,941.80 : x
  2. Step 2: Convert to fraction form
    214,697.40/322,046.10 = 56,941.80/x
  3. Step 3: Cross multiply
    214,697.40x = 322,046.10 × 56,941.80
  4. Step 4: Simplify right side
    214,697.40x = 18,337,884,616.98
  5. Step 5: Solve for x
    x = 18,337,884,616.98/214,697.40
  6. Step 6: Final answer
    x = 85,412.70

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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.