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Finding the Fourth Proportional to 538,207.58, 807,457.11 and 201,282.46

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Solution

The fourth proportional to 538,207.58, 807,457.11 and 201,282.46 is: 301,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,207.58 : 807,457.11 = 201,282.46 : x
  2. Step 2: Convert to fraction form
    538,207.58/807,457.11 = 201,282.46/x
  3. Step 3: Cross multiply
    538,207.58x = 807,457.11 × 201,282.46
  4. Step 4: Simplify right side
    538,207.58x = 162,526,951,426.65
  5. Step 5: Solve for x
    x = 162,526,951,426.65/538,207.58
  6. Step 6: Final answer
    x = 301,978.19

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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.