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Finding the Fourth Proportional to 289,714, 434,642 and 234,058.36

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Solution

The fourth proportional to 289,714, 434,642 and 234,058.36 is: 351,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,714 : 434,642 = 234,058.36 : x
  2. Step 2: Convert to fraction form
    289,714/434,642 = 234,058.36/x
  3. Step 3: Cross multiply
    289,714x = 434,642 × 234,058.36
  4. Step 4: Simplify right side
    289,714x = 101,731,593,707.12
  5. Step 5: Solve for x
    x = 101,731,593,707.12/289,714
  6. Step 6: Final answer
    x = 351,144.90

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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.