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Finding the Fourth Proportional to 505,917.58, 698,083.38 and 299,157.29

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Solution

The fourth proportional to 505,917.58, 698,083.38 and 299,157.29 is: 412,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,917.58 : 698,083.38 = 299,157.29 : x
  2. Step 2: Convert to fraction form
    505,917.58/698,083.38 = 299,157.29/x
  3. Step 3: Cross multiply
    505,917.58x = 698,083.38 × 299,157.29
  4. Step 4: Simplify right side
    505,917.58x = 208,836,732,154.84
  5. Step 5: Solve for x
    x = 208,836,732,154.84/505,917.58
  6. Step 6: Final answer
    x = 412,788.05

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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.