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Finding the Fourth Proportional to 301,115.32, 414,496.10 and 260,260.84

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Solution

The fourth proportional to 301,115.32, 414,496.10 and 260,260.84 is: 358,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,115.32 : 414,496.10 = 260,260.84 : x
  2. Step 2: Convert to fraction form
    301,115.32/414,496.10 = 260,260.84/x
  3. Step 3: Cross multiply
    301,115.32x = 414,496.10 × 260,260.84
  4. Step 4: Simplify right side
    301,115.32x = 107,877,103,162.72
  5. Step 5: Solve for x
    x = 107,877,103,162.72/301,115.32
  6. Step 6: Final answer
    x = 358,258.43

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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.