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Finding the Fourth Proportional to 347,211.46, 519,967.89 and 313,553.50

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Solution

The fourth proportional to 347,211.46, 519,967.89 and 313,553.50 is: 469,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,211.46 : 519,967.89 = 313,553.50 : x
  2. Step 2: Convert to fraction form
    347,211.46/519,967.89 = 313,553.50/x
  3. Step 3: Cross multiply
    347,211.46x = 519,967.89 × 313,553.50
  4. Step 4: Simplify right side
    347,211.46x = 163,037,751,797.12
  5. Step 5: Solve for x
    x = 163,037,751,797.12/347,211.46
  6. Step 6: Final answer
    x = 469,563.28

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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.