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Finding the Fourth Proportional to 340,892.51, 470,434.94 and 187,936.31

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Solution

The fourth proportional to 340,892.51, 470,434.94 and 187,936.31 is: 259,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,892.51 : 470,434.94 = 187,936.31 : x
  2. Step 2: Convert to fraction form
    340,892.51/470,434.94 = 187,936.31/x
  3. Step 3: Cross multiply
    340,892.51x = 470,434.94 × 187,936.31
  4. Step 4: Simplify right side
    340,892.51x = 88,411,808,321.39
  5. Step 5: Solve for x
    x = 88,411,808,321.39/340,892.51
  6. Step 6: Final answer
    x = 259,353.92

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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.