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Finding the Fourth Proportional to 264,784.26, 365,455.32 and 157,333.44

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Solution

The fourth proportional to 264,784.26, 365,455.32 and 157,333.44 is: 217,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784.26 : 365,455.32 = 157,333.44 : x
  2. Step 2: Convert to fraction form
    264,784.26/365,455.32 = 157,333.44/x
  3. Step 3: Cross multiply
    264,784.26x = 365,455.32 × 157,333.44
  4. Step 4: Simplify right side
    264,784.26x = 57,498,342,661.90
  5. Step 5: Solve for x
    x = 57,498,342,661.90/264,784.26
  6. Step 6: Final answer
    x = 217,151.66

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1.5x scale

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.