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Finding the Fourth Proportional to 354,464.10, 531,696.15 and 117,843.30

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Solution

The fourth proportional to 354,464.10, 531,696.15 and 117,843.30 is: 176,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,464.10 : 531,696.15 = 117,843.30 : x
  2. Step 2: Convert to fraction form
    354,464.10/531,696.15 = 117,843.30/x
  3. Step 3: Cross multiply
    354,464.10x = 531,696.15 × 117,843.30
  4. Step 4: Simplify right side
    354,464.10x = 62,656,828,913.30
  5. Step 5: Solve for x
    x = 62,656,828,913.30/354,464.10
  6. Step 6: Final answer
    x = 176,764.95

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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.