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Finding the Fourth Proportional to 475,853.68, 656,696.46 and 261,002.80

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Solution

The fourth proportional to 475,853.68, 656,696.46 and 261,002.80 is: 360,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,853.68 : 656,696.46 = 261,002.80 : x
  2. Step 2: Convert to fraction form
    475,853.68/656,696.46 = 261,002.80/x
  3. Step 3: Cross multiply
    475,853.68x = 656,696.46 × 261,002.80
  4. Step 4: Simplify right side
    475,853.68x = 171,399,614,810.09
  5. Step 5: Solve for x
    x = 171,399,614,810.09/475,853.68
  6. Step 6: Final answer
    x = 360,193.95

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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.