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Finding the Fourth Proportional to 580,752, 871,160.81 and 206,775

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Solution

The fourth proportional to 580,752, 871,160.81 and 206,775 is: 310,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,752 : 871,160.81 = 206,775 : x
  2. Step 2: Convert to fraction form
    580,752/871,160.81 = 206,775/x
  3. Step 3: Cross multiply
    580,752x = 871,160.81 × 206,775
  4. Step 4: Simplify right side
    580,752x = 180,134,275,453.88
  5. Step 5: Solve for x
    x = 180,134,275,453.88/580,752
  6. Step 6: Final answer
    x = 310,174.18

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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.