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Finding the Fourth Proportional to 380,285.34, 524,799.99 and 208,200.44

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Solution

The fourth proportional to 380,285.34, 524,799.99 and 208,200.44 is: 287,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,285.34 : 524,799.99 = 208,200.44 : x
  2. Step 2: Convert to fraction form
    380,285.34/524,799.99 = 208,200.44/x
  3. Step 3: Cross multiply
    380,285.34x = 524,799.99 × 208,200.44
  4. Step 4: Simplify right side
    380,285.34x = 109,263,586,206.00
  5. Step 5: Solve for x
    x = 109,263,586,206.00/380,285.34
  6. Step 6: Final answer
    x = 287,320.01

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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.