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Finding the Fourth Proportional to 301,098.87, 414,473.36 and 260,244.23

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Solution

The fourth proportional to 301,098.87, 414,473.36 and 260,244.23 is: 358,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.87 : 414,473.36 = 260,244.23 : x
  2. Step 2: Convert to fraction form
    301,098.87/414,473.36 = 260,244.23/x
  3. Step 3: Cross multiply
    301,098.87x = 414,473.36 × 260,244.23
  4. Step 4: Simplify right side
    301,098.87x = 107,864,297,055.13
  5. Step 5: Solve for x
    x = 107,864,297,055.13/301,098.87
  6. Step 6: Final answer
    x = 358,235.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.