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Finding the Fourth Proportional to 328,219.06, 452,942.30 and 177,316.06

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Solution

The fourth proportional to 328,219.06, 452,942.30 and 177,316.06 is: 244,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,219.06 : 452,942.30 = 177,316.06 : x
  2. Step 2: Convert to fraction form
    328,219.06/452,942.30 = 177,316.06/x
  3. Step 3: Cross multiply
    328,219.06x = 452,942.30 × 177,316.06
  4. Step 4: Simplify right side
    328,219.06x = 80,313,944,043.34
  5. Step 5: Solve for x
    x = 80,313,944,043.34/328,219.06
  6. Step 6: Final answer
    x = 244,696.16

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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.