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Finding the Fourth Proportional to 307,705.37, 461,410.35 and 145,464.34

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Solution

The fourth proportional to 307,705.37, 461,410.35 and 145,464.34 is: 218,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,705.37 : 461,410.35 = 145,464.34 : x
  2. Step 2: Convert to fraction form
    307,705.37/461,410.35 = 145,464.34/x
  3. Step 3: Cross multiply
    307,705.37x = 461,410.35 × 145,464.34
  4. Step 4: Simplify right side
    307,705.37x = 67,118,752,881.43
  5. Step 5: Solve for x
    x = 67,118,752,881.43/307,705.37
  6. Step 6: Final answer
    x = 218,126.69

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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.