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Finding the Fourth Proportional to 298,522.98, 411,828.57 and 201,695.67

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Solution

The fourth proportional to 298,522.98, 411,828.57 and 201,695.67 is: 278,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,522.98 : 411,828.57 = 201,695.67 : x
  2. Step 2: Convert to fraction form
    298,522.98/411,828.57 = 201,695.67/x
  3. Step 3: Cross multiply
    298,522.98x = 411,828.57 × 201,695.67
  4. Step 4: Simplify right side
    298,522.98x = 83,064,039,351.29
  5. Step 5: Solve for x
    x = 83,064,039,351.29/298,522.98
  6. Step 6: Final answer
    x = 278,250.07

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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.