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Finding the Fourth Proportional to 328,378.50, 453,162.42 and 177,475.50

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Solution

The fourth proportional to 328,378.50, 453,162.42 and 177,475.50 is: 244,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,378.50 : 453,162.42 = 177,475.50 : x
  2. Step 2: Convert to fraction form
    328,378.50/453,162.42 = 177,475.50/x
  3. Step 3: Cross multiply
    328,378.50x = 453,162.42 × 177,475.50
  4. Step 4: Simplify right side
    328,378.50x = 80,425,227,070.71
  5. Step 5: Solve for x
    x = 80,425,227,070.71/328,378.50
  6. Step 6: Final answer
    x = 244,916.24

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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.