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Finding the Fourth Proportional to 361,856.26, 499,320.21 and 208,893.84

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Solution

The fourth proportional to 361,856.26, 499,320.21 and 208,893.84 is: 288,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,856.26 : 499,320.21 = 208,893.84 : x
  2. Step 2: Convert to fraction form
    361,856.26/499,320.21 = 208,893.84/x
  3. Step 3: Cross multiply
    361,856.26x = 499,320.21 × 208,893.84
  4. Step 4: Simplify right side
    361,856.26x = 104,304,916,056.51
  5. Step 5: Solve for x
    x = 104,304,916,056.51/361,856.26
  6. Step 6: Final answer
    x = 288,249.58

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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.