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Finding the Fourth Proportional to 230,764, 346,146 and 64,552

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Solution

The fourth proportional to 230,764, 346,146 and 64,552 is: 96,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,764 : 346,146 = 64,552 : x
  2. Step 2: Convert to fraction form
    230,764/346,146 = 64,552/x
  3. Step 3: Cross multiply
    230,764x = 346,146 × 64,552
  4. Step 4: Simplify right side
    230,764x = 22,344,416,592
  5. Step 5: Solve for x
    x = 22,344,416,592/230,764
  6. Step 6: Final answer
    x = 96,828

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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.