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Finding the Fourth Proportional to 306,926.40, 459,871.20 and 201,691.20

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Solution

The fourth proportional to 306,926.40, 459,871.20 and 201,691.20 is: 302,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,926.40 : 459,871.20 = 201,691.20 : x
  2. Step 2: Convert to fraction form
    306,926.40/459,871.20 = 201,691.20/x
  3. Step 3: Cross multiply
    306,926.40x = 459,871.20 × 201,691.20
  4. Step 4: Simplify right side
    306,926.40x = 92,751,974,173.44
  5. Step 5: Solve for x
    x = 92,751,974,173.44/306,926.40
  6. Step 6: Final answer
    x = 302,196.14

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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.