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Finding the Fourth Proportional to 392,013.84, 587,950.63 and 103,827.46

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Solution

The fourth proportional to 392,013.84, 587,950.63 and 103,827.46 is: 155,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,013.84 : 587,950.63 = 103,827.46 : x
  2. Step 2: Convert to fraction form
    392,013.84/587,950.63 = 103,827.46/x
  3. Step 3: Cross multiply
    392,013.84x = 587,950.63 × 103,827.46
  4. Step 4: Simplify right side
    392,013.84x = 61,045,420,518.30
  5. Step 5: Solve for x
    x = 61,045,420,518.30/392,013.84
  6. Step 6: Final answer
    x = 155,722.62

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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.