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Finding the Fourth Proportional to 276,798.20, 415,391.70 and 177,200.60

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Solution

The fourth proportional to 276,798.20, 415,391.70 and 177,200.60 is: 265,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,798.20 : 415,391.70 = 177,200.60 : x
  2. Step 2: Convert to fraction form
    276,798.20/415,391.70 = 177,200.60/x
  3. Step 3: Cross multiply
    276,798.20x = 415,391.70 × 177,200.60
  4. Step 4: Simplify right side
    276,798.20x = 73,607,658,475.02
  5. Step 5: Solve for x
    x = 73,607,658,475.02/276,798.20
  6. Step 6: Final answer
    x = 265,925.35

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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.