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Finding the Fourth Proportional to 536,233.34, 804,689 and 299,731.16

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Solution

The fourth proportional to 536,233.34, 804,689 and 299,731.16 is: 449,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,233.34 : 804,689 = 299,731.16 : x
  2. Step 2: Convert to fraction form
    536,233.34/804,689 = 299,731.16/x
  3. Step 3: Cross multiply
    536,233.34x = 804,689 × 299,731.16
  4. Step 4: Simplify right side
    536,233.34x = 241,190,367,409.24
  5. Step 5: Solve for x
    x = 241,190,367,409.24/536,233.34
  6. Step 6: Final answer
    x = 449,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.