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Finding the Fourth Proportional to 214,978.16, 322,474.52 and 57,206.76

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Solution

The fourth proportional to 214,978.16, 322,474.52 and 57,206.76 is: 85,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978.16 : 322,474.52 = 57,206.76 : x
  2. Step 2: Convert to fraction form
    214,978.16/322,474.52 = 57,206.76/x
  3. Step 3: Cross multiply
    214,978.16x = 322,474.52 × 57,206.76
  4. Step 4: Simplify right side
    214,978.16x = 18,447,722,471.76
  5. Step 5: Solve for x
    x = 18,447,722,471.76/214,978.16
  6. Step 6: Final answer
    x = 85,812.08

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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.