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Finding the Fourth Proportional to 379,315.30, 523,410.47 and 209,539.30

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Solution

The fourth proportional to 379,315.30, 523,410.47 and 209,539.30 is: 289,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,315.30 : 523,410.47 = 209,539.30 : x
  2. Step 2: Convert to fraction form
    379,315.30/523,410.47 = 209,539.30/x
  3. Step 3: Cross multiply
    379,315.30x = 523,410.47 × 209,539.30
  4. Step 4: Simplify right side
    379,315.30x = 109,675,063,496.47
  5. Step 5: Solve for x
    x = 109,675,063,496.47/379,315.30
  6. Step 6: Final answer
    x = 289,139.57

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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.