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Finding the Fourth Proportional to 306,809.46, 460,245.60 and 117,428.94

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Solution

The fourth proportional to 306,809.46, 460,245.60 and 117,428.94 is: 176,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,809.46 : 460,245.60 = 117,428.94 : x
  2. Step 2: Convert to fraction form
    306,809.46/460,245.60 = 117,428.94/x
  3. Step 3: Cross multiply
    306,809.46x = 460,245.60 × 117,428.94
  4. Step 4: Simplify right side
    306,809.46x = 54,046,152,947.66
  5. Step 5: Solve for x
    x = 54,046,152,947.66/306,809.46
  6. Step 6: Final answer
    x = 176,155.43

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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.