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Finding the Fourth Proportional to 305,407.53, 458,111.30 and 95,045.54

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Solution

The fourth proportional to 305,407.53, 458,111.30 and 95,045.54 is: 142,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,407.53 : 458,111.30 = 95,045.54 : x
  2. Step 2: Convert to fraction form
    305,407.53/458,111.30 = 95,045.54/x
  3. Step 3: Cross multiply
    305,407.53x = 458,111.30 × 95,045.54
  4. Step 4: Simplify right side
    305,407.53x = 43,541,433,122.82
  5. Step 5: Solve for x
    x = 43,541,433,122.82/305,407.53
  6. Step 6: Final answer
    x = 142,568.30

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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.