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Finding the Fourth Proportional to 512,241.34, 706,985.58 and 305,522.98

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Solution

The fourth proportional to 512,241.34, 706,985.58 and 305,522.98 is: 421,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,241.34 : 706,985.58 = 305,522.98 : x
  2. Step 2: Convert to fraction form
    512,241.34/706,985.58 = 305,522.98/x
  3. Step 3: Cross multiply
    512,241.34x = 706,985.58 × 305,522.98
  4. Step 4: Simplify right side
    512,241.34x = 216,000,341,218.63
  5. Step 5: Solve for x
    x = 216,000,341,218.63/512,241.34
  6. Step 6: Final answer
    x = 421,676.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.