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Finding the Fourth Proportional to 823,419.24, 1,234,955.70 and 232,305

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Solution

The fourth proportional to 823,419.24, 1,234,955.70 and 232,305 is: 348,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,419.24 : 1,234,955.70 = 232,305 : x
  2. Step 2: Convert to fraction form
    823,419.24/1,234,955.70 = 232,305/x
  3. Step 3: Cross multiply
    823,419.24x = 1,234,955.70 × 232,305
  4. Step 4: Simplify right side
    823,419.24x = 286,886,383,888.50
  5. Step 5: Solve for x
    x = 286,886,383,888.50/823,419.24
  6. Step 6: Final answer
    x = 348,408.65

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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.