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Finding the Fourth Proportional to 304,203.20, 456,382.56 and 117,164.48

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Solution

The fourth proportional to 304,203.20, 456,382.56 and 117,164.48 is: 175,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,203.20 : 456,382.56 = 117,164.48 : x
  2. Step 2: Convert to fraction form
    304,203.20/456,382.56 = 117,164.48/x
  3. Step 3: Cross multiply
    304,203.20x = 456,382.56 × 117,164.48
  4. Step 4: Simplify right side
    304,203.20x = 53,471,825,323.47
  5. Step 5: Solve for x
    x = 53,471,825,323.47/304,203.20
  6. Step 6: Final answer
    x = 175,776.67

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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.