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Finding the Fourth Proportional to 567,283.68, 782,841.43 and 309,163

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Solution

The fourth proportional to 567,283.68, 782,841.43 and 309,163 is: 426,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,283.68 : 782,841.43 = 309,163 : x
  2. Step 2: Convert to fraction form
    567,283.68/782,841.43 = 309,163/x
  3. Step 3: Cross multiply
    567,283.68x = 782,841.43 × 309,163
  4. Step 4: Simplify right side
    567,283.68x = 242,025,605,023.09
  5. Step 5: Solve for x
    x = 242,025,605,023.09/567,283.68
  6. Step 6: Final answer
    x = 426,639.46

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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.