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Finding the Fourth Proportional to 493,507.26, 681,053.13 and 299,849.22

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Solution

The fourth proportional to 493,507.26, 681,053.13 and 299,849.22 is: 413,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,507.26 : 681,053.13 = 299,849.22 : x
  2. Step 2: Convert to fraction form
    493,507.26/681,053.13 = 299,849.22/x
  3. Step 3: Cross multiply
    493,507.26x = 681,053.13 × 299,849.22
  4. Step 4: Simplify right side
    493,507.26x = 204,213,249,809.06
  5. Step 5: Solve for x
    x = 204,213,249,809.06/493,507.26
  6. Step 6: Final answer
    x = 413,799.89

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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.