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Finding the Fourth Proportional to 288,684.81, 398,385.54 and 161,360.30

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Solution

The fourth proportional to 288,684.81, 398,385.54 and 161,360.30 is: 222,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684.81 : 398,385.54 = 161,360.30 : x
  2. Step 2: Convert to fraction form
    288,684.81/398,385.54 = 161,360.30/x
  3. Step 3: Cross multiply
    288,684.81x = 398,385.54 × 161,360.30
  4. Step 4: Simplify right side
    288,684.81x = 64,283,611,246.03
  5. Step 5: Solve for x
    x = 64,283,611,246.03/288,684.81
  6. Step 6: Final answer
    x = 222,677.50

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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.