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Finding the Fourth Proportional to 380,285.59, 524,800.35 and 208,200.70

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Solution

The fourth proportional to 380,285.59, 524,800.35 and 208,200.70 is: 287,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,285.59 : 524,800.35 = 208,200.70 : x
  2. Step 2: Convert to fraction form
    380,285.59/524,800.35 = 208,200.70/x
  3. Step 3: Cross multiply
    380,285.59x = 524,800.35 × 208,200.70
  4. Step 4: Simplify right side
    380,285.59x = 109,263,800,230.25
  5. Step 5: Solve for x
    x = 109,263,800,230.25/380,285.59
  6. Step 6: Final answer
    x = 287,320.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.