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Finding the Fourth Proportional to 304,113.44, 456,224.96 and 104,382.24

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Solution

The fourth proportional to 304,113.44, 456,224.96 and 104,382.24 is: 156,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,113.44 : 456,224.96 = 104,382.24 : x
  2. Step 2: Convert to fraction form
    304,113.44/456,224.96 = 104,382.24/x
  3. Step 3: Cross multiply
    304,113.44x = 456,224.96 × 104,382.24
  4. Step 4: Simplify right side
    304,113.44x = 47,621,783,268.71
  5. Step 5: Solve for x
    x = 47,621,783,268.71/304,113.44
  6. Step 6: Final answer
    x = 156,592.17

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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.