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Finding the Fourth Proportional to 580,971.54, 871,500.78 and 160,243.50

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Solution

The fourth proportional to 580,971.54, 871,500.78 and 160,243.50 is: 240,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,971.54 : 871,500.78 = 160,243.50 : x
  2. Step 2: Convert to fraction form
    580,971.54/871,500.78 = 160,243.50/x
  3. Step 3: Cross multiply
    580,971.54x = 871,500.78 × 160,243.50
  4. Step 4: Simplify right side
    580,971.54x = 139,652,335,239.93
  5. Step 5: Solve for x
    x = 139,652,335,239.93/580,971.54
  6. Step 6: Final answer
    x = 240,377.24

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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.