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Finding the Fourth Proportional to 243,011.70, 364,517.55 and 214,143.30

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Solution

The fourth proportional to 243,011.70, 364,517.55 and 214,143.30 is: 321,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,011.70 : 364,517.55 = 214,143.30 : x
  2. Step 2: Convert to fraction form
    243,011.70/364,517.55 = 214,143.30/x
  3. Step 3: Cross multiply
    243,011.70x = 364,517.55 × 214,143.30
  4. Step 4: Simplify right side
    243,011.70x = 78,058,991,064.92
  5. Step 5: Solve for x
    x = 78,058,991,064.92/243,011.70
  6. Step 6: Final answer
    x = 321,214.95

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1.5x scale

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.