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Finding the Fourth Proportional to 380,181.13, 524,666.51 and 210,415.21

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Solution

The fourth proportional to 380,181.13, 524,666.51 and 210,415.21 is: 290,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,181.13 : 524,666.51 = 210,415.21 : x
  2. Step 2: Convert to fraction form
    380,181.13/524,666.51 = 210,415.21/x
  3. Step 3: Cross multiply
    380,181.13x = 524,666.51 × 210,415.21
  4. Step 4: Simplify right side
    380,181.13x = 110,397,812,829.54
  5. Step 5: Solve for x
    x = 110,397,812,829.54/380,181.13
  6. Step 6: Final answer
    x = 290,382.15

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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.