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Finding the Fourth Proportional to 340,648.73, 470,090.90 and 185,606.49

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Solution

The fourth proportional to 340,648.73, 470,090.90 and 185,606.49 is: 256,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,648.73 : 470,090.90 = 185,606.49 : x
  2. Step 2: Convert to fraction form
    340,648.73/470,090.90 = 185,606.49/x
  3. Step 3: Cross multiply
    340,648.73x = 470,090.90 × 185,606.49
  4. Step 4: Simplify right side
    340,648.73x = 87,251,919,579.49
  5. Step 5: Solve for x
    x = 87,251,919,579.49/340,648.73
  6. Step 6: Final answer
    x = 256,134.58

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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.