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Finding the Fourth Proportional to 328,711.50, 453,622.28 and 177,808.50

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Solution

The fourth proportional to 328,711.50, 453,622.28 and 177,808.50 is: 245,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,711.50 : 453,622.28 = 177,808.50 : x
  2. Step 2: Convert to fraction form
    328,711.50/453,622.28 = 177,808.50/x
  3. Step 3: Cross multiply
    328,711.50x = 453,622.28 × 177,808.50
  4. Step 4: Simplify right side
    328,711.50x = 80,657,896,284.34
  5. Step 5: Solve for x
    x = 80,657,896,284.34/328,711.50
  6. Step 6: Final answer
    x = 245,375.95

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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.