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Finding the Fourth Proportional to 365,228.32, 504,065.15 and 210,176.43

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Solution

The fourth proportional to 365,228.32, 504,065.15 and 210,176.43 is: 290,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,228.32 : 504,065.15 = 210,176.43 : x
  2. Step 2: Convert to fraction form
    365,228.32/504,065.15 = 210,176.43/x
  3. Step 3: Cross multiply
    365,228.32x = 504,065.15 × 210,176.43
  4. Step 4: Simplify right side
    365,228.32x = 105,942,610,143.21
  5. Step 5: Solve for x
    x = 105,942,610,143.21/365,228.32
  6. Step 6: Final answer
    x = 290,072.28

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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.