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Finding the Fourth Proportional to 326,087.76, 449,810.46 and 205,037.40

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Solution

The fourth proportional to 326,087.76, 449,810.46 and 205,037.40 is: 282,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,087.76 : 449,810.46 = 205,037.40 : x
  2. Step 2: Convert to fraction form
    326,087.76/449,810.46 = 205,037.40/x
  3. Step 3: Cross multiply
    326,087.76x = 449,810.46 × 205,037.40
  4. Step 4: Simplify right side
    326,087.76x = 92,227,967,211.20
  5. Step 5: Solve for x
    x = 92,227,967,211.20/326,087.76
  6. Step 6: Final answer
    x = 282,831.74

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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.