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Finding the Fourth Proportional to 304,599.20, 456,620.16 and 117,469.76

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Solution

The fourth proportional to 304,599.20, 456,620.16 and 117,469.76 is: 176,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,599.20 : 456,620.16 = 117,469.76 : x
  2. Step 2: Convert to fraction form
    304,599.20/456,620.16 = 117,469.76/x
  3. Step 3: Cross multiply
    304,599.20x = 456,620.16 × 117,469.76
  4. Step 4: Simplify right side
    304,599.20x = 53,639,060,606.36
  5. Step 5: Solve for x
    x = 53,639,060,606.36/304,599.20
  6. Step 6: Final answer
    x = 176,097.18

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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.