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Finding the Fourth Proportional to 464,415.28, 696,721.44 and 149,093.68

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Solution

The fourth proportional to 464,415.28, 696,721.44 and 149,093.68 is: 223,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,415.28 : 696,721.44 = 149,093.68 : x
  2. Step 2: Convert to fraction form
    464,415.28/696,721.44 = 149,093.68/x
  3. Step 3: Cross multiply
    464,415.28x = 696,721.44 × 149,093.68
  4. Step 4: Simplify right side
    464,415.28x = 103,876,763,424.50
  5. Step 5: Solve for x
    x = 103,876,763,424.50/464,415.28
  6. Step 6: Final answer
    x = 223,672.15

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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.