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Finding the Fourth Proportional to 310,194.46, 427,959.34 and 202,827.34

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Solution

The fourth proportional to 310,194.46, 427,959.34 and 202,827.34 is: 279,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,194.46 : 427,959.34 = 202,827.34 : x
  2. Step 2: Convert to fraction form
    310,194.46/427,959.34 = 202,827.34/x
  3. Step 3: Cross multiply
    310,194.46x = 427,959.34 × 202,827.34
  4. Step 4: Simplify right side
    310,194.46x = 86,801,854,560.36
  5. Step 5: Solve for x
    x = 86,801,854,560.36/310,194.46
  6. Step 6: Final answer
    x = 279,830.45

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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.