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Finding the Fourth Proportional to 305,254.44, 457,959.42 and 94,894.20

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Solution

The fourth proportional to 305,254.44, 457,959.42 and 94,894.20 is: 142,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,254.44 : 457,959.42 = 94,894.20 : x
  2. Step 2: Convert to fraction form
    305,254.44/457,959.42 = 94,894.20/x
  3. Step 3: Cross multiply
    305,254.44x = 457,959.42 × 94,894.20
  4. Step 4: Simplify right side
    305,254.44x = 43,457,692,793.36
  5. Step 5: Solve for x
    x = 43,457,692,793.36/305,254.44
  6. Step 6: Final answer
    x = 142,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.