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Finding the Fourth Proportional to 610,758.08, 842,847.18 and 338,826

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Solution

The fourth proportional to 610,758.08, 842,847.18 and 338,826 is: 467,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,758.08 : 842,847.18 = 338,826 : x
  2. Step 2: Convert to fraction form
    610,758.08/842,847.18 = 338,826/x
  3. Step 3: Cross multiply
    610,758.08x = 842,847.18 × 338,826
  4. Step 4: Simplify right side
    610,758.08x = 285,578,538,610.68
  5. Step 5: Solve for x
    x = 285,578,538,610.68/610,758.08
  6. Step 6: Final answer
    x = 467,580.45

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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.