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Finding the Fourth Proportional to 400,048.20, 551,806.38 and 256,581

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Solution

The fourth proportional to 400,048.20, 551,806.38 and 256,581 is: 353,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,048.20 : 551,806.38 = 256,581 : x
  2. Step 2: Convert to fraction form
    400,048.20/551,806.38 = 256,581/x
  3. Step 3: Cross multiply
    400,048.20x = 551,806.38 × 256,581
  4. Step 4: Simplify right side
    400,048.20x = 141,583,032,786.78
  5. Step 5: Solve for x
    x = 141,583,032,786.78/400,048.20
  6. Step 6: Final answer
    x = 353,914.94

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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.