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Finding the Fourth Proportional to 511,697.94, 706,109.85 and 282,241.41

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Solution

The fourth proportional to 511,697.94, 706,109.85 and 282,241.41 is: 389,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,697.94 : 706,109.85 = 282,241.41 : x
  2. Step 2: Convert to fraction form
    511,697.94/706,109.85 = 282,241.41/x
  3. Step 3: Cross multiply
    511,697.94x = 706,109.85 × 282,241.41
  4. Step 4: Simplify right side
    511,697.94x = 199,293,439,678.89
  5. Step 5: Solve for x
    x = 199,293,439,678.89/511,697.94
  6. Step 6: Final answer
    x = 389,474.77

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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.