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Finding the Fourth Proportional to 288,703.94, 398,404.41 and 161,394.50

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Solution

The fourth proportional to 288,703.94, 398,404.41 and 161,394.50 is: 222,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703.94 : 398,404.41 = 161,394.50 : x
  2. Step 2: Convert to fraction form
    288,703.94/398,404.41 = 161,394.50/x
  3. Step 3: Cross multiply
    288,703.94x = 398,404.41 × 161,394.50
  4. Step 4: Simplify right side
    288,703.94x = 64,300,280,549.75
  5. Step 5: Solve for x
    x = 64,300,280,549.75/288,703.94
  6. Step 6: Final answer
    x = 222,720.48

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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.