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Finding the Fourth Proportional to 391,037.16, 539,629.38 and 212,189.16

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Solution

The fourth proportional to 391,037.16, 539,629.38 and 212,189.16 is: 292,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,037.16 : 539,629.38 = 212,189.16 : x
  2. Step 2: Convert to fraction form
    391,037.16/539,629.38 = 212,189.16/x
  3. Step 3: Cross multiply
    391,037.16x = 539,629.38 × 212,189.16
  4. Step 4: Simplify right side
    391,037.16x = 114,503,504,853.52
  5. Step 5: Solve for x
    x = 114,503,504,853.52/391,037.16
  6. Step 6: Final answer
    x = 292,820.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.