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Finding the Fourth Proportional to 691,216, 1,036,824 and 165,904

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Solution

The fourth proportional to 691,216, 1,036,824 and 165,904 is: 248,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,216 : 1,036,824 = 165,904 : x
  2. Step 2: Convert to fraction form
    691,216/1,036,824 = 165,904/x
  3. Step 3: Cross multiply
    691,216x = 1,036,824 × 165,904
  4. Step 4: Simplify right side
    691,216x = 172,013,248,896
  5. Step 5: Solve for x
    x = 172,013,248,896/691,216
  6. Step 6: Final answer
    x = 248,856

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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.