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Finding the Fourth Proportional to 507,750.33, 761,606.97 and 204,238.47

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Solution

The fourth proportional to 507,750.33, 761,606.97 and 204,238.47 is: 306,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,750.33 : 761,606.97 = 204,238.47 : x
  2. Step 2: Convert to fraction form
    507,750.33/761,606.97 = 204,238.47/x
  3. Step 3: Cross multiply
    507,750.33x = 761,606.97 × 204,238.47
  4. Step 4: Simplify right side
    507,750.33x = 155,549,442,294.14
  5. Step 5: Solve for x
    x = 155,549,442,294.14/507,750.33
  6. Step 6: Final answer
    x = 306,350.25

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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.