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Finding the Fourth Proportional to 610,293.22, 842,254.32 and 338,446.30

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Solution

The fourth proportional to 610,293.22, 842,254.32 and 338,446.30 is: 467,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,293.22 : 842,254.32 = 338,446.30 : x
  2. Step 2: Convert to fraction form
    610,293.22/842,254.32 = 338,446.30/x
  3. Step 3: Cross multiply
    610,293.22x = 842,254.32 × 338,446.30
  4. Step 4: Simplify right side
    610,293.22x = 285,057,858,263.02
  5. Step 5: Solve for x
    x = 285,057,858,263.02/610,293.22
  6. Step 6: Final answer
    x = 467,083.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.