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Finding the Fourth Proportional to 504,950.56, 696,865.92 and 290,176.24

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Solution

The fourth proportional to 504,950.56, 696,865.92 and 290,176.24 is: 400,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,950.56 : 696,865.92 = 290,176.24 : x
  2. Step 2: Convert to fraction form
    504,950.56/696,865.92 = 290,176.24/x
  3. Step 3: Cross multiply
    504,950.56x = 696,865.92 × 290,176.24
  4. Step 4: Simplify right side
    504,950.56x = 202,213,932,449.74
  5. Step 5: Solve for x
    x = 202,213,932,449.74/504,950.56
  6. Step 6: Final answer
    x = 400,462.83

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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.