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Finding the Fourth Proportional to 305,849.44, 458,774.16 and 95,505.40

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Solution

The fourth proportional to 305,849.44, 458,774.16 and 95,505.40 is: 143,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,849.44 : 458,774.16 = 95,505.40 : x
  2. Step 2: Convert to fraction form
    305,849.44/458,774.16 = 95,505.40/x
  3. Step 3: Cross multiply
    305,849.44x = 458,774.16 × 95,505.40
  4. Step 4: Simplify right side
    305,849.44x = 43,815,409,660.46
  5. Step 5: Solve for x
    x = 43,815,409,660.46/305,849.44
  6. Step 6: Final answer
    x = 143,258.10

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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.