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Finding the Fourth Proportional to 464,016, 696,024 and 113,808

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Solution

The fourth proportional to 464,016, 696,024 and 113,808 is: 170,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,016 : 696,024 = 113,808 : x
  2. Step 2: Convert to fraction form
    464,016/696,024 = 113,808/x
  3. Step 3: Cross multiply
    464,016x = 696,024 × 113,808
  4. Step 4: Simplify right side
    464,016x = 79,213,099,392
  5. Step 5: Solve for x
    x = 79,213,099,392/464,016
  6. Step 6: Final answer
    x = 170,712

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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.