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Finding the Fourth Proportional to 304,616.60, 456,994.98 and 102,239.55

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Solution

The fourth proportional to 304,616.60, 456,994.98 and 102,239.55 is: 153,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,616.60 : 456,994.98 = 102,239.55 : x
  2. Step 2: Convert to fraction form
    304,616.60/456,994.98 = 102,239.55/x
  3. Step 3: Cross multiply
    304,616.60x = 456,994.98 × 102,239.55
  4. Step 4: Simplify right side
    304,616.60x = 46,722,961,107.46
  5. Step 5: Solve for x
    x = 46,722,961,107.46/304,616.60
  6. Step 6: Final answer
    x = 153,382.85

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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.