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Finding the Fourth Proportional to 506,998.24, 699,657.58 and 280,643.74

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Solution

The fourth proportional to 506,998.24, 699,657.58 and 280,643.74 is: 387,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998.24 : 699,657.58 = 280,643.74 : x
  2. Step 2: Convert to fraction form
    506,998.24/699,657.58 = 280,643.74/x
  3. Step 3: Cross multiply
    506,998.24x = 699,657.58 × 280,643.74
  4. Step 4: Simplify right side
    506,998.24x = 196,354,519,970.55
  5. Step 5: Solve for x
    x = 196,354,519,970.55/506,998.24
  6. Step 6: Final answer
    x = 387,288.37

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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.