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Finding the Fourth Proportional to 328,769, 453,704.50 and 177,869.24

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Solution

The fourth proportional to 328,769, 453,704.50 and 177,869.24 is: 245,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,769 : 453,704.50 = 177,869.24 : x
  2. Step 2: Convert to fraction form
    328,769/453,704.50 = 177,869.24/x
  3. Step 3: Cross multiply
    328,769x = 453,704.50 × 177,869.24
  4. Step 4: Simplify right side
    328,769x = 80,700,074,599.58
  5. Step 5: Solve for x
    x = 80,700,074,599.58/328,769
  6. Step 6: Final answer
    x = 245,461.33

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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.