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Finding the Fourth Proportional to 415,871.40, 624,026.87 and 295,072.61

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Solution

The fourth proportional to 415,871.40, 624,026.87 and 295,072.61 is: 442,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,871.40 : 624,026.87 = 295,072.61 : x
  2. Step 2: Convert to fraction form
    415,871.40/624,026.87 = 295,072.61/x
  3. Step 3: Cross multiply
    415,871.40x = 624,026.87 × 295,072.61
  4. Step 4: Simplify right side
    415,871.40x = 184,133,238,921.99
  5. Step 5: Solve for x
    x = 184,133,238,921.99/415,871.40
  6. Step 6: Final answer
    x = 442,764.85

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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.