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Finding the Fourth Proportional to 461,964, 692,946 and 111,756

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Solution

The fourth proportional to 461,964, 692,946 and 111,756 is: 167,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,964 : 692,946 = 111,756 : x
  2. Step 2: Convert to fraction form
    461,964/692,946 = 111,756/x
  3. Step 3: Cross multiply
    461,964x = 692,946 × 111,756
  4. Step 4: Simplify right side
    461,964x = 77,440,873,176
  5. Step 5: Solve for x
    x = 77,440,873,176/461,964
  6. Step 6: Final answer
    x = 167,634

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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.