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Finding the Fourth Proportional to 538,591.74, 807,908.12 and 201,596.91

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Solution

The fourth proportional to 538,591.74, 807,908.12 and 201,596.91 is: 302,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,591.74 : 807,908.12 = 201,596.91 : x
  2. Step 2: Convert to fraction form
    538,591.74/807,908.12 = 201,596.91/x
  3. Step 3: Cross multiply
    538,591.74x = 807,908.12 × 201,596.91
  4. Step 4: Simplify right side
    538,591.74x = 162,871,780,555.91
  5. Step 5: Solve for x
    x = 162,871,780,555.91/538,591.74
  6. Step 6: Final answer
    x = 302,403.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.