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Finding the Fourth Proportional to 380,183.63, 524,669.96 and 210,417.71

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Solution

The fourth proportional to 380,183.63, 524,669.96 and 210,417.71 is: 290,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,183.63 : 524,669.96 = 210,417.71 : x
  2. Step 2: Convert to fraction form
    380,183.63/524,669.96 = 210,417.71/x
  3. Step 3: Cross multiply
    380,183.63x = 524,669.96 × 210,417.71
  4. Step 4: Simplify right side
    380,183.63x = 110,399,851,488.99
  5. Step 5: Solve for x
    x = 110,399,851,488.99/380,183.63
  6. Step 6: Final answer
    x = 290,385.60

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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.