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Finding the Fourth Proportional to 294,061.14, 440,953.47 and 205,414.74

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Solution

The fourth proportional to 294,061.14, 440,953.47 and 205,414.74 is: 308,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,061.14 : 440,953.47 = 205,414.74 : x
  2. Step 2: Convert to fraction form
    294,061.14/440,953.47 = 205,414.74/x
  3. Step 3: Cross multiply
    294,061.14x = 440,953.47 × 205,414.74
  4. Step 4: Simplify right side
    294,061.14x = 90,578,342,392.15
  5. Step 5: Solve for x
    x = 90,578,342,392.15/294,061.14
  6. Step 6: Final answer
    x = 308,025.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.