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Finding the Fourth Proportional to 512,830.35, 768,829.32 and 213,534.84

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Solution

The fourth proportional to 512,830.35, 768,829.32 and 213,534.84 is: 320,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,830.35 : 768,829.32 = 213,534.84 : x
  2. Step 2: Convert to fraction form
    512,830.35/768,829.32 = 213,534.84/x
  3. Step 3: Cross multiply
    512,830.35x = 768,829.32 × 213,534.84
  4. Step 4: Simplify right side
    512,830.35x = 164,171,845,833.51
  5. Step 5: Solve for x
    x = 164,171,845,833.51/512,830.35
  6. Step 6: Final answer
    x = 320,128.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.