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Finding the Fourth Proportional to 433,288.90, 598,089 and 297,771.45

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Solution

The fourth proportional to 433,288.90, 598,089 and 297,771.45 is: 411,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,288.90 : 598,089 = 297,771.45 : x
  2. Step 2: Convert to fraction form
    433,288.90/598,089 = 297,771.45/x
  3. Step 3: Cross multiply
    433,288.90x = 598,089 × 297,771.45
  4. Step 4: Simplify right side
    433,288.90x = 178,093,828,759.05
  5. Step 5: Solve for x
    x = 178,093,828,759.05/433,288.90
  6. Step 6: Final answer
    x = 411,027.90

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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.