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Finding the Fourth Proportional to 274,053.04, 410,801.12 and 185,316.64

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Solution

The fourth proportional to 274,053.04, 410,801.12 and 185,316.64 is: 277,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,053.04 : 410,801.12 = 185,316.64 : x
  2. Step 2: Convert to fraction form
    274,053.04/410,801.12 = 185,316.64/x
  3. Step 3: Cross multiply
    274,053.04x = 410,801.12 × 185,316.64
  4. Step 4: Simplify right side
    274,053.04x = 76,128,283,266.64
  5. Step 5: Solve for x
    x = 76,128,283,266.64/274,053.04
  6. Step 6: Final answer
    x = 277,786.68

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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.