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Finding the Fourth Proportional to 369,985.37, 510,579.79 and 200,219.49

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Solution

The fourth proportional to 369,985.37, 510,579.79 and 200,219.49 is: 276,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,985.37 : 510,579.79 = 200,219.49 : x
  2. Step 2: Convert to fraction form
    369,985.37/510,579.79 = 200,219.49/x
  3. Step 3: Cross multiply
    369,985.37x = 510,579.79 × 200,219.49
  4. Step 4: Simplify right side
    369,985.37x = 102,228,024,657.56
  5. Step 5: Solve for x
    x = 102,228,024,657.56/369,985.37
  6. Step 6: Final answer
    x = 276,302.89

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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.