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Finding the Fourth Proportional to 305,917.34, 458,885.06 and 146,010.13

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Solution

The fourth proportional to 305,917.34, 458,885.06 and 146,010.13 is: 219,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,917.34 : 458,885.06 = 146,010.13 : x
  2. Step 2: Convert to fraction form
    305,917.34/458,885.06 = 146,010.13/x
  3. Step 3: Cross multiply
    305,917.34x = 458,885.06 × 146,010.13
  4. Step 4: Simplify right side
    305,917.34x = 67,001,867,265.66
  5. Step 5: Solve for x
    x = 67,001,867,265.66/305,917.34
  6. Step 6: Final answer
    x = 219,019.51

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