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Finding the Fourth Proportional to 696,242, 960,814.92 and 394,456.40

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Solution

The fourth proportional to 696,242, 960,814.92 and 394,456.40 is: 544,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,242 : 960,814.92 = 394,456.40 : x
  2. Step 2: Convert to fraction form
    696,242/960,814.92 = 394,456.40/x
  3. Step 3: Cross multiply
    696,242x = 960,814.92 × 394,456.40
  4. Step 4: Simplify right side
    696,242x = 378,999,594,409.49
  5. Step 5: Solve for x
    x = 378,999,594,409.49/696,242
  6. Step 6: Final answer
    x = 544,350.38

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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.