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Finding the Fourth Proportional to 489,872.34, 735,034.50 and 223,714.44

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Solution

The fourth proportional to 489,872.34, 735,034.50 and 223,714.44 is: 335,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,872.34 : 735,034.50 = 223,714.44 : x
  2. Step 2: Convert to fraction form
    489,872.34/735,034.50 = 223,714.44/x
  3. Step 3: Cross multiply
    489,872.34x = 735,034.50 × 223,714.44
  4. Step 4: Simplify right side
    489,872.34x = 164,437,831,548.18
  5. Step 5: Solve for x
    x = 164,437,831,548.18/489,872.34
  6. Step 6: Final answer
    x = 335,674.86

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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.