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Finding the Fourth Proportional to 340,975.74, 470,454.21 and 193,798.56

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Solution

The fourth proportional to 340,975.74, 470,454.21 and 193,798.56 is: 267,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,975.74 : 470,454.21 = 193,798.56 : x
  2. Step 2: Convert to fraction form
    340,975.74/470,454.21 = 193,798.56/x
  3. Step 3: Cross multiply
    340,975.74x = 470,454.21 × 193,798.56
  4. Step 4: Simplify right side
    340,975.74x = 91,173,348,443.94
  5. Step 5: Solve for x
    x = 91,173,348,443.94/340,975.74
  6. Step 6: Final answer
    x = 267,389.55

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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.