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Finding the Fourth Proportional to 306,809.20, 460,025.88 and 119,602

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Solution

The fourth proportional to 306,809.20, 460,025.88 and 119,602 is: 179,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,809.20 : 460,025.88 = 119,602 : x
  2. Step 2: Convert to fraction form
    306,809.20/460,025.88 = 119,602/x
  3. Step 3: Cross multiply
    306,809.20x = 460,025.88 × 119,602
  4. Step 4: Simplify right side
    306,809.20x = 55,020,015,299.76
  5. Step 5: Solve for x
    x = 55,020,015,299.76/306,809.20
  6. Step 6: Final answer
    x = 179,329.74

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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.