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Finding the Fourth Proportional to 433,436, 598,168.20 and 242,462.24

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Solution

The fourth proportional to 433,436, 598,168.20 and 242,462.24 is: 334,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,436 : 598,168.20 = 242,462.24 : x
  2. Step 2: Convert to fraction form
    433,436/598,168.20 = 242,462.24/x
  3. Step 3: Cross multiply
    433,436x = 598,168.20 × 242,462.24
  4. Step 4: Simplify right side
    433,436x = 145,033,201,668.77
  5. Step 5: Solve for x
    x = 145,033,201,668.77/433,436
  6. Step 6: Final answer
    x = 334,612.73

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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.