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Finding the Fourth Proportional to 409,558.80, 614,204.47 and 135,931.49

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Solution

The fourth proportional to 409,558.80, 614,204.47 and 135,931.49 is: 203,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,558.80 : 614,204.47 = 135,931.49 : x
  2. Step 2: Convert to fraction form
    409,558.80/614,204.47 = 135,931.49/x
  3. Step 3: Cross multiply
    409,558.80x = 614,204.47 × 135,931.49
  4. Step 4: Simplify right side
    409,558.80x = 83,489,728,771.76
  5. Step 5: Solve for x
    x = 83,489,728,771.76/409,558.80
  6. Step 6: Final answer
    x = 203,852.85

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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.