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Finding the Fourth Proportional to 580,649.25, 871,098.30 and 201,582

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Solution

The fourth proportional to 580,649.25, 871,098.30 and 201,582 is: 302,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,649.25 : 871,098.30 = 201,582 : x
  2. Step 2: Convert to fraction form
    580,649.25/871,098.30 = 201,582/x
  3. Step 3: Cross multiply
    580,649.25x = 871,098.30 × 201,582
  4. Step 4: Simplify right side
    580,649.25x = 175,597,737,510.60
  5. Step 5: Solve for x
    x = 175,597,737,510.60/580,649.25
  6. Step 6: Final answer
    x = 302,416.20

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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.