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Finding the Fourth Proportional to 388,675.75, 536,506.77 and 227,582.59

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Solution

The fourth proportional to 388,675.75, 536,506.77 and 227,582.59 is: 314,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,675.75 : 536,506.77 = 227,582.59 : x
  2. Step 2: Convert to fraction form
    388,675.75/536,506.77 = 227,582.59/x
  3. Step 3: Cross multiply
    388,675.75x = 536,506.77 × 227,582.59
  4. Step 4: Simplify right side
    388,675.75x = 122,099,600,269.13
  5. Step 5: Solve for x
    x = 122,099,600,269.13/388,675.75
  6. Step 6: Final answer
    x = 314,142.57

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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.