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Finding the Fourth Proportional to 298,334.79, 447,433.83 and 85,098.66

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Solution

The fourth proportional to 298,334.79, 447,433.83 and 85,098.66 is: 127,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.79 : 447,433.83 = 85,098.66 : x
  2. Step 2: Convert to fraction form
    298,334.79/447,433.83 = 85,098.66/x
  3. Step 3: Cross multiply
    298,334.79x = 447,433.83 × 85,098.66
  4. Step 4: Simplify right side
    298,334.79x = 38,076,019,371.67
  5. Step 5: Solve for x
    x = 38,076,019,371.67/298,334.79
  6. Step 6: Final answer
    x = 127,628.49

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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.