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Finding the Fourth Proportional to 505,906.50, 698,190.66 and 288,124.34

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Solution

The fourth proportional to 505,906.50, 698,190.66 and 288,124.34 is: 397,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,906.50 : 698,190.66 = 288,124.34 : x
  2. Step 2: Convert to fraction form
    505,906.50/698,190.66 = 288,124.34/x
  3. Step 3: Cross multiply
    505,906.50x = 698,190.66 × 288,124.34
  4. Step 4: Simplify right side
    505,906.50x = 201,165,723,106.66
  5. Step 5: Solve for x
    x = 201,165,723,106.66/505,906.50
  6. Step 6: Final answer
    x = 397,634.19

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1.5x scale

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.