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Finding the Fourth Proportional to 380,416.32, 524,974.48 and 210,650.44

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Solution

The fourth proportional to 380,416.32, 524,974.48 and 210,650.44 is: 290,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.32 : 524,974.48 = 210,650.44 : x
  2. Step 2: Convert to fraction form
    380,416.32/524,974.48 = 210,650.44/x
  3. Step 3: Cross multiply
    380,416.32x = 524,974.48 × 210,650.44
  4. Step 4: Simplify right side
    380,416.32x = 110,586,105,200.77
  5. Step 5: Solve for x
    x = 110,586,105,200.77/380,416.32
  6. Step 6: Final answer
    x = 290,697.58

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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.