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Finding the Fourth Proportional to 580,982.82, 871,614.33 and 201,848.37

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Solution

The fourth proportional to 580,982.82, 871,614.33 and 201,848.37 is: 302,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,982.82 : 871,614.33 = 201,848.37 : x
  2. Step 2: Convert to fraction form
    580,982.82/871,614.33 = 201,848.37/x
  3. Step 3: Cross multiply
    580,982.82x = 871,614.33 × 201,848.37
  4. Step 4: Simplify right side
    580,982.82x = 175,933,931,779.14
  5. Step 5: Solve for x
    x = 175,933,931,779.14/580,982.82
  6. Step 6: Final answer
    x = 302,821.23

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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.