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Finding the Fourth Proportional to 340,980.91, 470,461.37 and 193,803.71

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Solution

The fourth proportional to 340,980.91, 470,461.37 and 193,803.71 is: 267,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,980.91 : 470,461.37 = 193,803.71 : x
  2. Step 2: Convert to fraction form
    340,980.91/470,461.37 = 193,803.71/x
  3. Step 3: Cross multiply
    340,980.91x = 470,461.37 × 193,803.71
  4. Step 4: Simplify right side
    340,980.91x = 91,177,155,596.36
  5. Step 5: Solve for x
    x = 91,177,155,596.36/340,980.91
  6. Step 6: Final answer
    x = 267,396.66

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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.