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Finding the Fourth Proportional to 383,164.63, 528,783.53 and 213,398.75

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Solution

The fourth proportional to 383,164.63, 528,783.53 and 213,398.75 is: 294,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,164.63 : 528,783.53 = 213,398.75 : x
  2. Step 2: Convert to fraction form
    383,164.63/528,783.53 = 213,398.75/x
  3. Step 3: Cross multiply
    383,164.63x = 528,783.53 × 213,398.75
  4. Step 4: Simplify right side
    383,164.63x = 112,841,744,577.55
  5. Step 5: Solve for x
    x = 112,841,744,577.55/383,164.63
  6. Step 6: Final answer
    x = 294,499.38

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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.