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Finding the Fourth Proportional to 380,416.46, 524,974.34 and 210,650.58

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Solution

The fourth proportional to 380,416.46, 524,974.34 and 210,650.58 is: 290,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.46 : 524,974.34 = 210,650.58 : x
  2. Step 2: Convert to fraction form
    380,416.46/524,974.34 = 210,650.58/x
  3. Step 3: Cross multiply
    380,416.46x = 524,974.34 × 210,650.58
  4. Step 4: Simplify right side
    380,416.46x = 110,586,149,206.12
  5. Step 5: Solve for x
    x = 110,586,149,206.12/380,416.46
  6. Step 6: Final answer
    x = 290,697.59

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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.