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Finding the Fourth Proportional to 361,099.40, 498,311.06 and 199,950.98

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Solution

The fourth proportional to 361,099.40, 498,311.06 and 199,950.98 is: 275,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,099.40 : 498,311.06 = 199,950.98 : x
  2. Step 2: Convert to fraction form
    361,099.40/498,311.06 = 199,950.98/x
  3. Step 3: Cross multiply
    361,099.40x = 498,311.06 × 199,950.98
  4. Step 4: Simplify right side
    361,099.40x = 99,637,781,300.53
  5. Step 5: Solve for x
    x = 99,637,781,300.53/361,099.40
  6. Step 6: Final answer
    x = 275,928.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.