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Finding the Fourth Proportional to 380,183.13, 524,669.27 and 210,417.21

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Solution

The fourth proportional to 380,183.13, 524,669.27 and 210,417.21 is: 290,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,183.13 : 524,669.27 = 210,417.21 : x
  2. Step 2: Convert to fraction form
    380,183.13/524,669.27 = 210,417.21/x
  3. Step 3: Cross multiply
    380,183.13x = 524,669.27 × 210,417.21
  4. Step 4: Simplify right side
    380,183.13x = 110,399,442,914.05
  5. Step 5: Solve for x
    x = 110,399,442,914.05/380,183.13
  6. Step 6: Final answer
    x = 290,384.91

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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.