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Finding the Fourth Proportional to 610,261.22, 842,210.16 and 338,414.24

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Solution

The fourth proportional to 610,261.22, 842,210.16 and 338,414.24 is: 467,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,261.22 : 842,210.16 = 338,414.24 : x
  2. Step 2: Convert to fraction form
    610,261.22/842,210.16 = 338,414.24/x
  3. Step 3: Cross multiply
    610,261.22x = 842,210.16 × 338,414.24
  4. Step 4: Simplify right side
    610,261.22x = 285,015,911,216.68
  5. Step 5: Solve for x
    x = 285,015,911,216.68/610,261.22
  6. Step 6: Final answer
    x = 467,039.20

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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.