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Finding the Fourth Proportional to 512,274.10, 718,233.50 and 512,274.10

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Solution

The fourth proportional to 512,274.10, 718,233.50 and 512,274.10 is: 718,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,274.10 : 718,233.50 = 512,274.10 : x
  2. Step 2: Convert to fraction form
    512,274.10/718,233.50 = 512,274.10/x
  3. Step 3: Cross multiply
    512,274.10x = 718,233.50 × 512,274.10
  4. Step 4: Simplify right side
    512,274.10x = 367,932,419,802.35
  5. Step 5: Solve for x
    x = 367,932,419,802.35/512,274.10
  6. Step 6: Final answer
    x = 718,233.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.