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Finding the Fourth Proportional to 240,489.83, 360,734.34 and 96,460.58

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Solution

The fourth proportional to 240,489.83, 360,734.34 and 96,460.58 is: 144,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,489.83 : 360,734.34 = 96,460.58 : x
  2. Step 2: Convert to fraction form
    240,489.83/360,734.34 = 96,460.58/x
  3. Step 3: Cross multiply
    240,489.83x = 360,734.34 × 96,460.58
  4. Step 4: Simplify right side
    240,489.83x = 34,796,643,662.32
  5. Step 5: Solve for x
    x = 34,796,643,662.32/240,489.83
  6. Step 6: Final answer
    x = 144,690.71

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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.