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Finding the Fourth Proportional to 410,314.16, 566,533.44 and 265,205.78

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Solution

The fourth proportional to 410,314.16, 566,533.44 and 265,205.78 is: 366,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,314.16 : 566,533.44 = 265,205.78 : x
  2. Step 2: Convert to fraction form
    410,314.16/566,533.44 = 265,205.78/x
  3. Step 3: Cross multiply
    410,314.16x = 566,533.44 × 265,205.78
  4. Step 4: Simplify right side
    410,314.16x = 150,247,942,851.28
  5. Step 5: Solve for x
    x = 150,247,942,851.28/410,314.16
  6. Step 6: Final answer
    x = 366,177.82

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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.