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Finding the Fourth Proportional to 305,411.53, 458,117.31 and 95,049.55

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Solution

The fourth proportional to 305,411.53, 458,117.31 and 95,049.55 is: 142,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,411.53 : 458,117.31 = 95,049.55 : x
  2. Step 2: Convert to fraction form
    305,411.53/458,117.31 = 95,049.55/x
  3. Step 3: Cross multiply
    305,411.53x = 458,117.31 × 95,049.55
  4. Step 4: Simplify right side
    305,411.53x = 43,543,844,162.71
  5. Step 5: Solve for x
    x = 43,543,844,162.71/305,411.53
  6. Step 6: Final answer
    x = 142,574.33

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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.