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Finding the Fourth Proportional to 506,894.30, 699,440.91 and 280,539.26

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Solution

The fourth proportional to 506,894.30, 699,440.91 and 280,539.26 is: 387,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,894.30 : 699,440.91 = 280,539.26 : x
  2. Step 2: Convert to fraction form
    506,894.30/699,440.91 = 280,539.26/x
  3. Step 3: Cross multiply
    506,894.30x = 699,440.91 × 280,539.26
  4. Step 4: Simplify right side
    506,894.30x = 196,220,635,305.13
  5. Step 5: Solve for x
    x = 196,220,635,305.13/506,894.30
  6. Step 6: Final answer
    x = 387,103.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.