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Finding the Fourth Proportional to 464,175.36, 696,311.52 and 197,964

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Solution

The fourth proportional to 464,175.36, 696,311.52 and 197,964 is: 296,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,175.36 : 696,311.52 = 197,964 : x
  2. Step 2: Convert to fraction form
    464,175.36/696,311.52 = 197,964/x
  3. Step 3: Cross multiply
    464,175.36x = 696,311.52 × 197,964
  4. Step 4: Simplify right side
    464,175.36x = 137,844,613,745.28
  5. Step 5: Solve for x
    x = 137,844,613,745.28/464,175.36
  6. Step 6: Final answer
    x = 296,966.68

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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.