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Finding the Fourth Proportional to 505,920.38, 698,197.14 and 291,093.19

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Solution

The fourth proportional to 505,920.38, 698,197.14 and 291,093.19 is: 401,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,920.38 : 698,197.14 = 291,093.19 : x
  2. Step 2: Convert to fraction form
    505,920.38/698,197.14 = 291,093.19/x
  3. Step 3: Cross multiply
    505,920.38x = 698,197.14 × 291,093.19
  4. Step 4: Simplify right side
    505,920.38x = 203,240,430,985.98
  5. Step 5: Solve for x
    x = 203,240,430,985.98/505,920.38
  6. Step 6: Final answer
    x = 401,724.15

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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.