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Finding the Fourth Proportional to 516,204.76, 774,268.82 and 216,673.24

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Solution

The fourth proportional to 516,204.76, 774,268.82 and 216,673.24 is: 324,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,204.76 : 774,268.82 = 216,673.24 : x
  2. Step 2: Convert to fraction form
    516,204.76/774,268.82 = 216,673.24/x
  3. Step 3: Cross multiply
    516,204.76x = 774,268.82 × 216,673.24
  4. Step 4: Simplify right side
    516,204.76x = 167,763,333,860.38
  5. Step 5: Solve for x
    x = 167,763,333,860.38/516,204.76
  6. Step 6: Final answer
    x = 324,993.78

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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.