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Finding the Fourth Proportional to 287,457.88, 396,704.14 and 160,133.56

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Solution

The fourth proportional to 287,457.88, 396,704.14 and 160,133.56 is: 220,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,457.88 : 396,704.14 = 160,133.56 : x
  2. Step 2: Convert to fraction form
    287,457.88/396,704.14 = 160,133.56/x
  3. Step 3: Cross multiply
    287,457.88x = 396,704.14 × 160,133.56
  4. Step 4: Simplify right side
    287,457.88x = 63,525,646,204.94
  5. Step 5: Solve for x
    x = 63,525,646,204.94/287,457.88
  6. Step 6: Final answer
    x = 220,991.15

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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.