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Finding the Fourth Proportional to 433,314.72, 598,124.60 and 297,797.27

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Solution

The fourth proportional to 433,314.72, 598,124.60 and 297,797.27 is: 411,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,314.72 : 598,124.60 = 297,797.27 : x
  2. Step 2: Convert to fraction form
    433,314.72/598,124.60 = 297,797.27/x
  3. Step 3: Cross multiply
    433,314.72x = 598,124.60 × 297,797.27
  4. Step 4: Simplify right side
    433,314.72x = 178,119,868,520.23
  5. Step 5: Solve for x
    x = 178,119,868,520.23/433,314.72
  6. Step 6: Final answer
    x = 411,063.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.