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Finding the Fourth Proportional to 380,416.30, 524,990.32 and 210,650.42

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Solution

The fourth proportional to 380,416.30, 524,990.32 and 210,650.42 is: 290,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.30 : 524,990.32 = 210,650.42 : x
  2. Step 2: Convert to fraction form
    380,416.30/524,990.32 = 210,650.42/x
  3. Step 3: Cross multiply
    380,416.30x = 524,990.32 × 210,650.42
  4. Step 4: Simplify right side
    380,416.30x = 110,589,431,403.93
  5. Step 5: Solve for x
    x = 110,589,431,403.93/380,416.30
  6. Step 6: Final answer
    x = 290,706.34

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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.