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Finding the Fourth Proportional to 505,894.14, 698,173.73 and 288,112.04

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Solution

The fourth proportional to 505,894.14, 698,173.73 and 288,112.04 is: 397,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,894.14 : 698,173.73 = 288,112.04 : x
  2. Step 2: Convert to fraction form
    505,894.14/698,173.73 = 288,112.04/x
  3. Step 3: Cross multiply
    505,894.14x = 698,173.73 × 288,112.04
  4. Step 4: Simplify right side
    505,894.14x = 201,152,252,693.28
  5. Step 5: Solve for x
    x = 201,152,252,693.28/505,894.14
  6. Step 6: Final answer
    x = 397,617.28

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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.