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Finding the Fourth Proportional to 369,902.28, 510,465.13 and 200,136.41

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Solution

The fourth proportional to 369,902.28, 510,465.13 and 200,136.41 is: 276,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,902.28 : 510,465.13 = 200,136.41 : x
  2. Step 2: Convert to fraction form
    369,902.28/510,465.13 = 200,136.41/x
  3. Step 3: Cross multiply
    369,902.28x = 510,465.13 × 200,136.41
  4. Step 4: Simplify right side
    369,902.28x = 102,162,658,548.38
  5. Step 5: Solve for x
    x = 102,162,658,548.38/369,902.28
  6. Step 6: Final answer
    x = 276,188.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.