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Finding the Fourth Proportional to 383,504.84, 529,254.70 and 213,740.18

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Solution

The fourth proportional to 383,504.84, 529,254.70 and 213,740.18 is: 294,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,504.84 : 529,254.70 = 213,740.18 : x
  2. Step 2: Convert to fraction form
    383,504.84/529,254.70 = 213,740.18/x
  3. Step 3: Cross multiply
    383,504.84x = 529,254.70 × 213,740.18
  4. Step 4: Simplify right side
    383,504.84x = 113,122,994,843.85
  5. Step 5: Solve for x
    x = 113,122,994,843.85/383,504.84
  6. Step 6: Final answer
    x = 294,971.49

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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.