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Finding the Fourth Proportional to 427,570.76, 641,466.78 and 161,333.54

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Solution

The fourth proportional to 427,570.76, 641,466.78 and 161,333.54 is: 242,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,570.76 : 641,466.78 = 161,333.54 : x
  2. Step 2: Convert to fraction form
    427,570.76/641,466.78 = 161,333.54/x
  3. Step 3: Cross multiply
    427,570.76x = 641,466.78 × 161,333.54
  4. Step 4: Simplify right side
    427,570.76x = 103,490,106,409.80
  5. Step 5: Solve for x
    x = 103,490,106,409.80/427,570.76
  6. Step 6: Final answer
    x = 242,042.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.