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Finding the Fourth Proportional to 659,649.29, 910,317.77 and 357,843.29

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Solution

The fourth proportional to 659,649.29, 910,317.77 and 357,843.29 is: 493,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,649.29 : 910,317.77 = 357,843.29 : x
  2. Step 2: Convert to fraction form
    659,649.29/910,317.77 = 357,843.29/x
  3. Step 3: Cross multiply
    659,649.29x = 910,317.77 × 357,843.29
  4. Step 4: Simplify right side
    659,649.29x = 325,751,099,421.46
  5. Step 5: Solve for x
    x = 325,751,099,421.46/659,649.29
  6. Step 6: Final answer
    x = 493,824.68

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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.