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Finding the Fourth Proportional to 354,675.45, 489,471.93 and 193,533.24

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Solution

The fourth proportional to 354,675.45, 489,471.93 and 193,533.24 is: 267,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,675.45 : 489,471.93 = 193,533.24 : x
  2. Step 2: Convert to fraction form
    354,675.45/489,471.93 = 193,533.24/x
  3. Step 3: Cross multiply
    354,675.45x = 489,471.93 × 193,533.24
  4. Step 4: Simplify right side
    354,675.45x = 94,729,088,501.95
  5. Step 5: Solve for x
    x = 94,729,088,501.95/354,675.45
  6. Step 6: Final answer
    x = 267,086.68

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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.