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Finding the Fourth Proportional to 410,102.80, 614,635.80 and 365,520.40

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Solution

The fourth proportional to 410,102.80, 614,635.80 and 365,520.40 is: 547,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,102.80 : 614,635.80 = 365,520.40 : x
  2. Step 2: Convert to fraction form
    410,102.80/614,635.80 = 365,520.40/x
  3. Step 3: Cross multiply
    410,102.80x = 614,635.80 × 365,520.40
  4. Step 4: Simplify right side
    410,102.80x = 224,661,923,470.32
  5. Step 5: Solve for x
    x = 224,661,923,470.32/410,102.80
  6. Step 6: Final answer
    x = 547,818.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.