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Finding the Fourth Proportional to 464,023.20, 695,473.20 and 197,223.60

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Solution

The fourth proportional to 464,023.20, 695,473.20 and 197,223.60 is: 295,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,023.20 : 695,473.20 = 197,223.60 : x
  2. Step 2: Convert to fraction form
    464,023.20/695,473.20 = 197,223.60/x
  3. Step 3: Cross multiply
    464,023.20x = 695,473.20 × 197,223.60
  4. Step 4: Simplify right side
    464,023.20x = 137,163,728,207.52
  5. Step 5: Solve for x
    x = 137,163,728,207.52/464,023.20
  6. Step 6: Final answer
    x = 295,596.70

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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.