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Finding the Fourth Proportional to 680,944, 1,021,610.88 and 231,763.84

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Solution

The fourth proportional to 680,944, 1,021,610.88 and 231,763.84 is: 347,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,944 : 1,021,610.88 = 231,763.84 : x
  2. Step 2: Convert to fraction form
    680,944/1,021,610.88 = 231,763.84/x
  3. Step 3: Cross multiply
    680,944x = 1,021,610.88 × 231,763.84
  4. Step 4: Simplify right side
    680,944x = 236,772,460,534.58
  5. Step 5: Solve for x
    x = 236,772,460,534.58/680,944
  6. Step 6: Final answer
    x = 347,712.09

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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.