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Finding the Fourth Proportional to 328,427, 492,824.94 and 178,677.74

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Solution

The fourth proportional to 328,427, 492,824.94 and 178,677.74 is: 268,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,427 : 492,824.94 = 178,677.74 : x
  2. Step 2: Convert to fraction form
    328,427/492,824.94 = 178,677.74/x
  3. Step 3: Cross multiply
    328,427x = 492,824.94 × 178,677.74
  4. Step 4: Simplify right side
    328,427x = 88,056,846,494.84
  5. Step 5: Solve for x
    x = 88,056,846,494.84/328,427
  6. Step 6: Final answer
    x = 268,116.95

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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.