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Finding the Fourth Proportional to 410,161.76, 565,955.28 and 273,977.24

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Solution

The fourth proportional to 410,161.76, 565,955.28 and 273,977.24 is: 378,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,161.76 : 565,955.28 = 273,977.24 : x
  2. Step 2: Convert to fraction form
    410,161.76/565,955.28 = 273,977.24/x
  3. Step 3: Cross multiply
    410,161.76x = 565,955.28 × 273,977.24
  4. Step 4: Simplify right side
    410,161.76x = 155,058,865,577.83
  5. Step 5: Solve for x
    x = 155,058,865,577.83/410,161.76
  6. Step 6: Final answer
    x = 378,043.20

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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.