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Finding the Fourth Proportional to 506,137.44, 698,445.54 and 276,706.56

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Solution

The fourth proportional to 506,137.44, 698,445.54 and 276,706.56 is: 381,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,137.44 : 698,445.54 = 276,706.56 : x
  2. Step 2: Convert to fraction form
    506,137.44/698,445.54 = 276,706.56/x
  3. Step 3: Cross multiply
    506,137.44x = 698,445.54 × 276,706.56
  4. Step 4: Simplify right side
    506,137.44x = 193,264,462,720.74
  5. Step 5: Solve for x
    x = 193,264,462,720.74/506,137.44
  6. Step 6: Final answer
    x = 381,841.86

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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.