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Finding the Fourth Proportional to 307,148.22, 460,219.32 and 295,484.22

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Solution

The fourth proportional to 307,148.22, 460,219.32 and 295,484.22 is: 442,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,148.22 : 460,219.32 = 295,484.22 : x
  2. Step 2: Convert to fraction form
    307,148.22/460,219.32 = 295,484.22/x
  3. Step 3: Cross multiply
    307,148.22x = 460,219.32 × 295,484.22
  4. Step 4: Simplify right side
    307,148.22x = 135,987,546,799.13
  5. Step 5: Solve for x
    x = 135,987,546,799.13/307,148.22
  6. Step 6: Final answer
    x = 442,742.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.