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Finding the Fourth Proportional to 517,635.60, 714,193.44 and 333,796.38

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Solution

The fourth proportional to 517,635.60, 714,193.44 and 333,796.38 is: 460,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,635.60 : 714,193.44 = 333,796.38 : x
  2. Step 2: Convert to fraction form
    517,635.60/714,193.44 = 333,796.38/x
  3. Step 3: Cross multiply
    517,635.60x = 714,193.44 × 333,796.38
  4. Step 4: Simplify right side
    517,635.60x = 238,395,186,856.73
  5. Step 5: Solve for x
    x = 238,395,186,856.73/517,635.60
  6. Step 6: Final answer
    x = 460,546.35

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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.