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Finding the Fourth Proportional to 383,483.16, 529,224.84 and 213,718.50

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Solution

The fourth proportional to 383,483.16, 529,224.84 and 213,718.50 is: 294,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,483.16 : 529,224.84 = 213,718.50 : x
  2. Step 2: Convert to fraction form
    383,483.16/529,224.84 = 213,718.50/x
  3. Step 3: Cross multiply
    383,483.16x = 529,224.84 × 213,718.50
  4. Step 4: Simplify right side
    383,483.16x = 113,105,138,967.54
  5. Step 5: Solve for x
    x = 113,105,138,967.54/383,483.16
  6. Step 6: Final answer
    x = 294,941.61

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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.