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Finding the Fourth Proportional to 294,797.73, 406,837.56 and 223,053.19

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Solution

The fourth proportional to 294,797.73, 406,837.56 and 223,053.19 is: 307,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,797.73 : 406,837.56 = 223,053.19 : x
  2. Step 2: Convert to fraction form
    294,797.73/406,837.56 = 223,053.19/x
  3. Step 3: Cross multiply
    294,797.73x = 406,837.56 × 223,053.19
  4. Step 4: Simplify right side
    294,797.73x = 90,746,415,569.82
  5. Step 5: Solve for x
    x = 90,746,415,569.82/294,797.73
  6. Step 6: Final answer
    x = 307,826.04

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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.