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Finding the Fourth Proportional to 326,084.76, 449,806.32 and 205,034.40

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Solution

The fourth proportional to 326,084.76, 449,806.32 and 205,034.40 is: 282,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,084.76 : 449,806.32 = 205,034.40 : x
  2. Step 2: Convert to fraction form
    326,084.76/449,806.32 = 205,034.40/x
  3. Step 3: Cross multiply
    326,084.76x = 449,806.32 × 205,034.40
  4. Step 4: Simplify right side
    326,084.76x = 92,225,768,937.41
  5. Step 5: Solve for x
    x = 92,225,768,937.41/326,084.76
  6. Step 6: Final answer
    x = 282,827.60

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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.