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Finding the Fourth Proportional to 340,981.74, 470,462.48 and 193,804.56

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Solution

The fourth proportional to 340,981.74, 470,462.48 and 193,804.56 is: 267,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,981.74 : 470,462.48 = 193,804.56 : x
  2. Step 2: Convert to fraction form
    340,981.74/470,462.48 = 193,804.56/x
  3. Step 3: Cross multiply
    340,981.74x = 470,462.48 × 193,804.56
  4. Step 4: Simplify right side
    340,981.74x = 91,177,773,932.91
  5. Step 5: Solve for x
    x = 91,177,773,932.91/340,981.74
  6. Step 6: Final answer
    x = 267,397.82

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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.