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Finding the Fourth Proportional to 382,513.50, 573,835.86 and 116,300.94

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Solution

The fourth proportional to 382,513.50, 573,835.86 and 116,300.94 is: 174,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,513.50 : 573,835.86 = 116,300.94 : x
  2. Step 2: Convert to fraction form
    382,513.50/573,835.86 = 116,300.94/x
  3. Step 3: Cross multiply
    382,513.50x = 573,835.86 × 116,300.94
  4. Step 4: Simplify right side
    382,513.50x = 66,737,649,923.71
  5. Step 5: Solve for x
    x = 66,737,649,923.71/382,513.50
  6. Step 6: Final answer
    x = 174,471.36

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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.