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Finding the Fourth Proportional to 464,103.84, 696,257.82 and 148,592.64

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Solution

The fourth proportional to 464,103.84, 696,257.82 and 148,592.64 is: 222,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,103.84 : 696,257.82 = 148,592.64 : x
  2. Step 2: Convert to fraction form
    464,103.84/696,257.82 = 148,592.64/x
  3. Step 3: Cross multiply
    464,103.84x = 696,257.82 × 148,592.64
  4. Step 4: Simplify right side
    464,103.84x = 103,458,787,594.45
  5. Step 5: Solve for x
    x = 103,458,787,594.45/464,103.84
  6. Step 6: Final answer
    x = 222,921.64

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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.