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Finding the Fourth Proportional to 512,099.74, 706,592.14 and 294,266.32

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Solution

The fourth proportional to 512,099.74, 706,592.14 and 294,266.32 is: 406,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,099.74 : 706,592.14 = 294,266.32 : x
  2. Step 2: Convert to fraction form
    512,099.74/706,592.14 = 294,266.32/x
  3. Step 3: Cross multiply
    512,099.74x = 706,592.14 × 294,266.32
  4. Step 4: Simplify right side
    512,099.74x = 207,926,271,906.41
  5. Step 5: Solve for x
    x = 207,926,271,906.41/512,099.74
  6. Step 6: Final answer
    x = 406,026.90

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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.