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Finding the Fourth Proportional to 262,354.50, 393,598.17 and 75,366

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Solution

The fourth proportional to 262,354.50, 393,598.17 and 75,366 is: 113,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,354.50 : 393,598.17 = 75,366 : x
  2. Step 2: Convert to fraction form
    262,354.50/393,598.17 = 75,366/x
  3. Step 3: Cross multiply
    262,354.50x = 393,598.17 × 75,366
  4. Step 4: Simplify right side
    262,354.50x = 29,663,919,680.22
  5. Step 5: Solve for x
    x = 29,663,919,680.22/262,354.50
  6. Step 6: Final answer
    x = 113,068.08

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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.