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Finding the Fourth Proportional to 659,649.35, 910,317.85 and 357,843.35

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Solution

The fourth proportional to 659,649.35, 910,317.85 and 357,843.35 is: 493,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,649.35 : 910,317.85 = 357,843.35 : x
  2. Step 2: Convert to fraction form
    659,649.35/910,317.85 = 357,843.35/x
  3. Step 3: Cross multiply
    659,649.35x = 910,317.85 × 357,843.35
  4. Step 4: Simplify right side
    659,649.35x = 325,751,189,008.80
  5. Step 5: Solve for x
    x = 325,751,189,008.80/659,649.35
  6. Step 6: Final answer
    x = 493,824.77

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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.