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Finding the Fourth Proportional to 358,832.20, 537,584.10 and 209,144.20

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Solution

The fourth proportional to 358,832.20, 537,584.10 and 209,144.20 is: 313,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,832.20 : 537,584.10 = 209,144.20 : x
  2. Step 2: Convert to fraction form
    358,832.20/537,584.10 = 209,144.20/x
  3. Step 3: Cross multiply
    358,832.20x = 537,584.10 × 209,144.20
  4. Step 4: Simplify right side
    358,832.20x = 112,432,596,527.22
  5. Step 5: Solve for x
    x = 112,432,596,527.22/358,832.20
  6. Step 6: Final answer
    x = 313,329.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.