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Finding the Fourth Proportional to 306,803.70, 460,017.63 and 119,596.50

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Solution

The fourth proportional to 306,803.70, 460,017.63 and 119,596.50 is: 179,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,803.70 : 460,017.63 = 119,596.50 : x
  2. Step 2: Convert to fraction form
    306,803.70/460,017.63 = 119,596.50/x
  3. Step 3: Cross multiply
    306,803.70x = 460,017.63 × 119,596.50
  4. Step 4: Simplify right side
    306,803.70x = 55,016,498,486.30
  5. Step 5: Solve for x
    x = 55,016,498,486.30/306,803.70
  6. Step 6: Final answer
    x = 179,321.50

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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.