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Finding the Fourth Proportional to 328,588.16, 453,451.70 and 177,685.16

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Solution

The fourth proportional to 328,588.16, 453,451.70 and 177,685.16 is: 245,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,588.16 : 453,451.70 = 177,685.16 : x
  2. Step 2: Convert to fraction form
    328,588.16/453,451.70 = 177,685.16/x
  3. Step 3: Cross multiply
    328,588.16x = 453,451.70 × 177,685.16
  4. Step 4: Simplify right side
    328,588.16x = 80,571,636,043.73
  5. Step 5: Solve for x
    x = 80,571,636,043.73/328,588.16
  6. Step 6: Final answer
    x = 245,205.54

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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.