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Finding the Fourth Proportional to 610,511, 842,505.18 and 338,620.52

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Solution

The fourth proportional to 610,511, 842,505.18 and 338,620.52 is: 467,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,511 : 842,505.18 = 338,620.52 : x
  2. Step 2: Convert to fraction form
    610,511/842,505.18 = 338,620.52/x
  3. Step 3: Cross multiply
    610,511x = 842,505.18 × 338,620.52
  4. Step 4: Simplify right side
    610,511x = 285,289,542,154.29
  5. Step 5: Solve for x
    x = 285,289,542,154.29/610,511
  6. Step 6: Final answer
    x = 467,296.32

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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.