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Finding the Fourth Proportional to 538,207.33, 807,456.73 and 201,282.21

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Solution

The fourth proportional to 538,207.33, 807,456.73 and 201,282.21 is: 301,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,207.33 : 807,456.73 = 201,282.21 : x
  2. Step 2: Convert to fraction form
    538,207.33/807,456.73 = 201,282.21/x
  3. Step 3: Cross multiply
    538,207.33x = 807,456.73 × 201,282.21
  4. Step 4: Simplify right side
    538,207.33x = 162,526,671,056.49
  5. Step 5: Solve for x
    x = 162,526,671,056.49/538,207.33
  6. Step 6: Final answer
    x = 301,977.81

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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.