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Finding the Fourth Proportional to 380,285.51, 524,800.20 and 208,200.60

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Solution

The fourth proportional to 380,285.51, 524,800.20 and 208,200.60 is: 287,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,285.51 : 524,800.20 = 208,200.60 : x
  2. Step 2: Convert to fraction form
    380,285.51/524,800.20 = 208,200.60/x
  3. Step 3: Cross multiply
    380,285.51x = 524,800.20 × 208,200.60
  4. Step 4: Simplify right side
    380,285.51x = 109,263,717,300.87
  5. Step 5: Solve for x
    x = 109,263,717,300.87/380,285.51
  6. Step 6: Final answer
    x = 287,320.23

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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.