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Finding the Fourth Proportional to 433,314.70, 598,124.58 and 297,797.24

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Solution

The fourth proportional to 433,314.70, 598,124.58 and 297,797.24 is: 411,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,314.70 : 598,124.58 = 297,797.24 : x
  2. Step 2: Convert to fraction form
    433,314.70/598,124.58 = 297,797.24/x
  3. Step 3: Cross multiply
    433,314.70x = 598,124.58 × 297,797.24
  4. Step 4: Simplify right side
    433,314.70x = 178,119,847,611.17
  5. Step 5: Solve for x
    x = 178,119,847,611.17/433,314.70
  6. Step 6: Final answer
    x = 411,063.48

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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.