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Finding the Fourth Proportional to 517,796.22, 714,414.42 and 333,957

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Solution

The fourth proportional to 517,796.22, 714,414.42 and 333,957 is: 460,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,796.22 : 714,414.42 = 333,957 : x
  2. Step 2: Convert to fraction form
    517,796.22/714,414.42 = 333,957/x
  3. Step 3: Cross multiply
    517,796.22x = 714,414.42 × 333,957
  4. Step 4: Simplify right side
    517,796.22x = 238,583,696,459.94
  5. Step 5: Solve for x
    x = 238,583,696,459.94/517,796.22
  6. Step 6: Final answer
    x = 460,767.55

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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.