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Finding the Fourth Proportional to 305,574.40, 458,367.52 and 105,901.36

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Solution

The fourth proportional to 305,574.40, 458,367.52 and 105,901.36 is: 158,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,574.40 : 458,367.52 = 105,901.36 : x
  2. Step 2: Convert to fraction form
    305,574.40/458,367.52 = 105,901.36/x
  3. Step 3: Cross multiply
    305,574.40x = 458,367.52 × 105,901.36
  4. Step 4: Simplify right side
    305,574.40x = 48,541,743,747.83
  5. Step 5: Solve for x
    x = 48,541,743,747.83/305,574.40
  6. Step 6: Final answer
    x = 158,854.09

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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.