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Finding the Fourth Proportional to 464,150.60, 696,261.52 and 197,912.52

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Solution

The fourth proportional to 464,150.60, 696,261.52 and 197,912.52 is: 296,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,150.60 : 696,261.52 = 197,912.52 : x
  2. Step 2: Convert to fraction form
    464,150.60/696,261.52 = 197,912.52/x
  3. Step 3: Cross multiply
    464,150.60x = 696,261.52 × 197,912.52
  4. Step 4: Simplify right side
    464,150.60x = 137,798,872,002.23
  5. Step 5: Solve for x
    x = 137,798,872,002.23/464,150.60
  6. Step 6: Final answer
    x = 296,883.97

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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.