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Finding the Fourth Proportional to 538,124.94, 807,077.34 and 201,103.38

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Solution

The fourth proportional to 538,124.94, 807,077.34 and 201,103.38 is: 301,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,124.94 : 807,077.34 = 201,103.38 : x
  2. Step 2: Convert to fraction form
    538,124.94/807,077.34 = 201,103.38/x
  3. Step 3: Cross multiply
    538,124.94x = 807,077.34 × 201,103.38
  4. Step 4: Simplify right side
    538,124.94x = 162,305,980,995.41
  5. Step 5: Solve for x
    x = 162,305,980,995.41/538,124.94
  6. Step 6: Final answer
    x = 301,613.94

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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.