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Finding the Fourth Proportional to 840,838, 1,160,380.92 and 458,889.20

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Solution

The fourth proportional to 840,838, 1,160,380.92 and 458,889.20 is: 633,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,838 : 1,160,380.92 = 458,889.20 : x
  2. Step 2: Convert to fraction form
    840,838/1,160,380.92 = 458,889.20/x
  3. Step 3: Cross multiply
    840,838x = 1,160,380.92 × 458,889.20
  4. Step 4: Simplify right side
    840,838x = 532,486,272,074.06
  5. Step 5: Solve for x
    x = 532,486,272,074.06/840,838
  6. Step 6: Final answer
    x = 633,280.46

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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.