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Finding the Fourth Proportional to 304,100.73, 456,152.31 and 104,478.66

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Solution

The fourth proportional to 304,100.73, 456,152.31 and 104,478.66 is: 156,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,100.73 : 456,152.31 = 104,478.66 : x
  2. Step 2: Convert to fraction form
    304,100.73/456,152.31 = 104,478.66/x
  3. Step 3: Cross multiply
    304,100.73x = 456,152.31 × 104,478.66
  4. Step 4: Simplify right side
    304,100.73x = 47,658,182,104.70
  5. Step 5: Solve for x
    x = 47,658,182,104.70/304,100.73
  6. Step 6: Final answer
    x = 156,718.41

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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.