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Finding the Fourth Proportional to 231,176, 346,764 and 64,964

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Solution

The fourth proportional to 231,176, 346,764 and 64,964 is: 97,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,176 : 346,764 = 64,964 : x
  2. Step 2: Convert to fraction form
    231,176/346,764 = 64,964/x
  3. Step 3: Cross multiply
    231,176x = 346,764 × 64,964
  4. Step 4: Simplify right side
    231,176x = 22,527,176,496
  5. Step 5: Solve for x
    x = 22,527,176,496/231,176
  6. Step 6: Final answer
    x = 97,446

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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.