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Finding the Fourth Proportional to 380,094.30, 524,508.40 and 210,318.30

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Solution

The fourth proportional to 380,094.30, 524,508.40 and 210,318.30 is: 290,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,094.30 : 524,508.40 = 210,318.30 : x
  2. Step 2: Convert to fraction form
    380,094.30/524,508.40 = 210,318.30/x
  3. Step 3: Cross multiply
    380,094.30x = 524,508.40 × 210,318.30
  4. Step 4: Simplify right side
    380,094.30x = 110,313,715,023.72
  5. Step 5: Solve for x
    x = 110,313,715,023.72/380,094.30
  6. Step 6: Final answer
    x = 290,227.23

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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.