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Finding the Fourth Proportional to 505,908.49, 698,193.41 and 288,126.33

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Solution

The fourth proportional to 505,908.49, 698,193.41 and 288,126.33 is: 397,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,908.49 : 698,193.41 = 288,126.33 : x
  2. Step 2: Convert to fraction form
    505,908.49/698,193.41 = 288,126.33/x
  3. Step 3: Cross multiply
    505,908.49x = 698,193.41 × 288,126.33
  4. Step 4: Simplify right side
    505,908.49x = 201,167,904,853.49
  5. Step 5: Solve for x
    x = 201,167,904,853.49/505,908.49
  6. Step 6: Final answer
    x = 397,636.94

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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.