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Finding the Fourth Proportional to 416,285.10, 574,333.08 and 271,024.56

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Solution

The fourth proportional to 416,285.10, 574,333.08 and 271,024.56 is: 373,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,285.10 : 574,333.08 = 271,024.56 : x
  2. Step 2: Convert to fraction form
    416,285.10/574,333.08 = 271,024.56/x
  3. Step 3: Cross multiply
    416,285.10x = 574,333.08 × 271,024.56
  4. Step 4: Simplify right side
    416,285.10x = 155,658,370,300.45
  5. Step 5: Solve for x
    x = 155,658,370,300.45/416,285.10
  6. Step 6: Final answer
    x = 373,922.51

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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.