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Finding the Fourth Proportional to 378,870.47, 522,840.17 and 209,103.38

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Solution

The fourth proportional to 378,870.47, 522,840.17 and 209,103.38 is: 288,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,870.47 : 522,840.17 = 209,103.38 : x
  2. Step 2: Convert to fraction form
    378,870.47/522,840.17 = 209,103.38/x
  3. Step 3: Cross multiply
    378,870.47x = 522,840.17 × 209,103.38
  4. Step 4: Simplify right side
    378,870.47x = 109,327,643,087.06
  5. Step 5: Solve for x
    x = 109,327,643,087.06/378,870.47
  6. Step 6: Final answer
    x = 288,562.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.