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Finding the Fourth Proportional to 288,511.32, 398,142.90 and 161,208.84

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Solution

The fourth proportional to 288,511.32, 398,142.90 and 161,208.84 is: 222,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,511.32 : 398,142.90 = 161,208.84 : x
  2. Step 2: Convert to fraction form
    288,511.32/398,142.90 = 161,208.84/x
  3. Step 3: Cross multiply
    288,511.32x = 398,142.90 × 161,208.84
  4. Step 4: Simplify right side
    288,511.32x = 64,184,155,063.24
  5. Step 5: Solve for x
    x = 64,184,155,063.24/288,511.32
  6. Step 6: Final answer
    x = 222,466.68

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1.5x scale

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.