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Finding the Fourth Proportional to 497,096.93, 685,998.36 and 282,241.59

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Solution

The fourth proportional to 497,096.93, 685,998.36 and 282,241.59 is: 389,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,096.93 : 685,998.36 = 282,241.59 : x
  2. Step 2: Convert to fraction form
    497,096.93/685,998.36 = 282,241.59/x
  3. Step 3: Cross multiply
    497,096.93x = 685,998.36 × 282,241.59
  4. Step 4: Simplify right side
    497,096.93x = 193,617,267,863.79
  5. Step 5: Solve for x
    x = 193,617,267,863.79/497,096.93
  6. Step 6: Final answer
    x = 389,496.01

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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.