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Finding the Fourth Proportional to 305,945.23, 458,848.54 and 116,338

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Solution

The fourth proportional to 305,945.23, 458,848.54 and 116,338 is: 174,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,945.23 : 458,848.54 = 116,338 : x
  2. Step 2: Convert to fraction form
    305,945.23/458,848.54 = 116,338/x
  3. Step 3: Cross multiply
    305,945.23x = 458,848.54 × 116,338
  4. Step 4: Simplify right side
    305,945.23x = 53,381,521,446.52
  5. Step 5: Solve for x
    x = 53,381,521,446.52/305,945.23
  6. Step 6: Final answer
    x = 174,480.65

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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.