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Finding the Fourth Proportional to 374,716.31, 517,120.86 and 204,950.42

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Solution

The fourth proportional to 374,716.31, 517,120.86 and 204,950.42 is: 282,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,716.31 : 517,120.86 = 204,950.42 : x
  2. Step 2: Convert to fraction form
    374,716.31/517,120.86 = 204,950.42/x
  3. Step 3: Cross multiply
    374,716.31x = 517,120.86 × 204,950.42
  4. Step 4: Simplify right side
    374,716.31x = 105,984,137,447.76
  5. Step 5: Solve for x
    x = 105,984,137,447.76/374,716.31
  6. Step 6: Final answer
    x = 282,838.34

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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.