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Finding the Fourth Proportional to 304,093.60, 456,097.20 and 104,423.20

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Solution

The fourth proportional to 304,093.60, 456,097.20 and 104,423.20 is: 156,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,093.60 : 456,097.20 = 104,423.20 : x
  2. Step 2: Convert to fraction form
    304,093.60/456,097.20 = 104,423.20/x
  3. Step 3: Cross multiply
    304,093.60x = 456,097.20 × 104,423.20
  4. Step 4: Simplify right side
    304,093.60x = 47,627,129,135.04
  5. Step 5: Solve for x
    x = 47,627,129,135.04/304,093.60
  6. Step 6: Final answer
    x = 156,619.97

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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.