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Finding the Fourth Proportional to 380,105.04, 524,553.12 and 210,350.64

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Solution

The fourth proportional to 380,105.04, 524,553.12 and 210,350.64 is: 290,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,105.04 : 524,553.12 = 210,350.64 : x
  2. Step 2: Convert to fraction form
    380,105.04/524,553.12 = 210,350.64/x
  3. Step 3: Cross multiply
    380,105.04x = 524,553.12 × 210,350.64
  4. Step 4: Simplify right side
    380,105.04x = 110,340,084,506.00
  5. Step 5: Solve for x
    x = 110,340,084,506.00/380,105.04
  6. Step 6: Final answer
    x = 290,288.40

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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.