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Finding the Fourth Proportional to 622,542.80, 933,929.40 and 201,832.40

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Solution

The fourth proportional to 622,542.80, 933,929.40 and 201,832.40 is: 302,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,542.80 : 933,929.40 = 201,832.40 : x
  2. Step 2: Convert to fraction form
    622,542.80/933,929.40 = 201,832.40/x
  3. Step 3: Cross multiply
    622,542.80x = 933,929.40 × 201,832.40
  4. Step 4: Simplify right side
    622,542.80x = 188,497,212,232.56
  5. Step 5: Solve for x
    x = 188,497,212,232.56/622,542.80
  6. Step 6: Final answer
    x = 302,785.95

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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.