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Finding the Fourth Proportional to 305,246.88, 457,890.84 and 105,586.56

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Solution

The fourth proportional to 305,246.88, 457,890.84 and 105,586.56 is: 158,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,246.88 : 457,890.84 = 105,586.56 : x
  2. Step 2: Convert to fraction form
    305,246.88/457,890.84 = 105,586.56/x
  3. Step 3: Cross multiply
    305,246.88x = 457,890.84 × 105,586.56
  4. Step 4: Simplify right side
    305,246.88x = 48,347,118,651.11
  5. Step 5: Solve for x
    x = 48,347,118,651.11/305,246.88
  6. Step 6: Final answer
    x = 158,386.94

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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.