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Finding the Fourth Proportional to 464,143.52, 696,225 and 148,599.52

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Solution

The fourth proportional to 464,143.52, 696,225 and 148,599.52 is: 222,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,143.52 : 696,225 = 148,599.52 : x
  2. Step 2: Convert to fraction form
    464,143.52/696,225 = 148,599.52/x
  3. Step 3: Cross multiply
    464,143.52x = 696,225 × 148,599.52
  4. Step 4: Simplify right side
    464,143.52x = 103,458,700,812
  5. Step 5: Solve for x
    x = 103,458,700,812/464,143.52
  6. Step 6: Final answer
    x = 222,902.39

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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.