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Finding the Fourth Proportional to 580,846.40, 871,295.20 and 328,123.20

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Solution

The fourth proportional to 580,846.40, 871,295.20 and 328,123.20 is: 492,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,846.40 : 871,295.20 = 328,123.20 : x
  2. Step 2: Convert to fraction form
    580,846.40/871,295.20 = 328,123.20/x
  3. Step 3: Cross multiply
    580,846.40x = 871,295.20 × 328,123.20
  4. Step 4: Simplify right side
    580,846.40x = 285,892,169,168.64
  5. Step 5: Solve for x
    x = 285,892,169,168.64/580,846.40
  6. Step 6: Final answer
    x = 492,199.26

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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.