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Finding the Fourth Proportional to 380,202.73, 524,671.83 and 208,116.48

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Solution

The fourth proportional to 380,202.73, 524,671.83 and 208,116.48 is: 287,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,202.73 : 524,671.83 = 208,116.48 : x
  2. Step 2: Convert to fraction form
    380,202.73/524,671.83 = 208,116.48/x
  3. Step 3: Cross multiply
    380,202.73x = 524,671.83 × 208,116.48
  4. Step 4: Simplify right side
    380,202.73x = 109,192,854,414.76
  5. Step 5: Solve for x
    x = 109,192,854,414.76/380,202.73
  6. Step 6: Final answer
    x = 287,196.40

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1.5x scale

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.