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Finding the Fourth Proportional to 306,992.30, 460,648.35 and 232,090.31

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Solution

The fourth proportional to 306,992.30, 460,648.35 and 232,090.31 is: 348,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,992.30 : 460,648.35 = 232,090.31 : x
  2. Step 2: Convert to fraction form
    306,992.30/460,648.35 = 232,090.31/x
  3. Step 3: Cross multiply
    306,992.30x = 460,648.35 × 232,090.31
  4. Step 4: Simplify right side
    306,992.30x = 106,912,019,504.11
  5. Step 5: Solve for x
    x = 106,912,019,504.11/306,992.30
  6. Step 6: Final answer
    x = 348,256.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.