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Finding the Fourth Proportional to 380,114.62, 524,555.13 and 210,358.06

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Solution

The fourth proportional to 380,114.62, 524,555.13 and 210,358.06 is: 290,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,114.62 : 524,555.13 = 210,358.06 : x
  2. Step 2: Convert to fraction form
    380,114.62/524,555.13 = 210,358.06/x
  3. Step 3: Cross multiply
    380,114.62x = 524,555.13 × 210,358.06
  4. Step 4: Simplify right side
    380,114.62x = 110,344,399,509.85
  5. Step 5: Solve for x
    x = 110,344,399,509.85/380,114.62
  6. Step 6: Final answer
    x = 290,292.44

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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.