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Finding the Fourth Proportional to 796,172, 1,098,752.88 and 469,498.24

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Solution

The fourth proportional to 796,172, 1,098,752.88 and 469,498.24 is: 647,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,172 : 1,098,752.88 = 469,498.24 : x
  2. Step 2: Convert to fraction form
    796,172/1,098,752.88 = 469,498.24/x
  3. Step 3: Cross multiply
    796,172x = 1,098,752.88 × 469,498.24
  4. Step 4: Simplify right side
    796,172x = 515,862,543,354.93
  5. Step 5: Solve for x
    x = 515,862,543,354.93/796,172
  6. Step 6: Final answer
    x = 647,928.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.