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Finding the Fourth Proportional to 383,014.38, 528,550.47 and 213,244.86

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Solution

The fourth proportional to 383,014.38, 528,550.47 and 213,244.86 is: 294,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,014.38 : 528,550.47 = 213,244.86 : x
  2. Step 2: Convert to fraction form
    383,014.38/528,550.47 = 213,244.86/x
  3. Step 3: Cross multiply
    383,014.38x = 528,550.47 × 213,244.86
  4. Step 4: Simplify right side
    383,014.38x = 112,710,670,978.08
  5. Step 5: Solve for x
    x = 112,710,670,978.08/383,014.38
  6. Step 6: Final answer
    x = 294,272.69

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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.