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Finding the Fourth Proportional to 417,116.52, 575,315.06 and 273,824.28

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Solution

The fourth proportional to 417,116.52, 575,315.06 and 273,824.28 is: 377,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,116.52 : 575,315.06 = 273,824.28 : x
  2. Step 2: Convert to fraction form
    417,116.52/575,315.06 = 273,824.28/x
  3. Step 3: Cross multiply
    417,116.52x = 575,315.06 × 273,824.28
  4. Step 4: Simplify right side
    417,116.52x = 157,535,230,708.54
  5. Step 5: Solve for x
    x = 157,535,230,708.54/417,116.52
  6. Step 6: Final answer
    x = 377,676.80

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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.