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Finding the Fourth Proportional to 415,087.40, 622,232.58 and 264,903.68

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Solution

The fourth proportional to 415,087.40, 622,232.58 and 264,903.68 is: 397,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087.40 : 622,232.58 = 264,903.68 : x
  2. Step 2: Convert to fraction form
    415,087.40/622,232.58 = 264,903.68/x
  3. Step 3: Cross multiply
    415,087.40x = 622,232.58 × 264,903.68
  4. Step 4: Simplify right side
    415,087.40x = 164,831,700,257.89
  5. Step 5: Solve for x
    x = 164,831,700,257.89/415,087.40
  6. Step 6: Final answer
    x = 397,101.19

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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.