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Finding the Fourth Proportional to 305,874.95, 458,113.55 and 146,062.82

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Solution

The fourth proportional to 305,874.95, 458,113.55 and 146,062.82 is: 218,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.95 : 458,113.55 = 146,062.82 : x
  2. Step 2: Convert to fraction form
    305,874.95/458,113.55 = 146,062.82/x
  3. Step 3: Cross multiply
    305,874.95x = 458,113.55 × 146,062.82
  4. Step 4: Simplify right side
    305,874.95x = 66,913,356,993.21
  5. Step 5: Solve for x
    x = 66,913,356,993.21/305,874.95
  6. Step 6: Final answer
    x = 218,760.50

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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.