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Finding the Fourth Proportional to 288,534.33, 398,164.97 and 159,466.13

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Solution

The fourth proportional to 288,534.33, 398,164.97 and 159,466.13 is: 220,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534.33 : 398,164.97 = 159,466.13 : x
  2. Step 2: Convert to fraction form
    288,534.33/398,164.97 = 159,466.13/x
  3. Step 3: Cross multiply
    288,534.33x = 398,164.97 × 159,466.13
  4. Step 4: Simplify right side
    288,534.33x = 63,493,824,079.31
  5. Step 5: Solve for x
    x = 63,493,824,079.31/288,534.33
  6. Step 6: Final answer
    x = 220,056.39

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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.