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Finding the Fourth Proportional to 380,378.53, 524,922.37 and 210,612.66

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Solution

The fourth proportional to 380,378.53, 524,922.37 and 210,612.66 is: 290,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,378.53 : 524,922.37 = 210,612.66 : x
  2. Step 2: Convert to fraction form
    380,378.53/524,922.37 = 210,612.66/x
  3. Step 3: Cross multiply
    380,378.53x = 524,922.37 × 210,612.66
  4. Step 4: Simplify right side
    380,378.53x = 110,555,295,328.91
  5. Step 5: Solve for x
    x = 110,555,295,328.91/380,378.53
  6. Step 6: Final answer
    x = 290,645.47

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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.