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Finding the Fourth Proportional to 280,629.92, 387,296 and 153,324.64

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Solution

The fourth proportional to 280,629.92, 387,296 and 153,324.64 is: 211,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,629.92 : 387,296 = 153,324.64 : x
  2. Step 2: Convert to fraction form
    280,629.92/387,296 = 153,324.64/x
  3. Step 3: Cross multiply
    280,629.92x = 387,296 × 153,324.64
  4. Step 4: Simplify right side
    280,629.92x = 59,382,019,773.44
  5. Step 5: Solve for x
    x = 59,382,019,773.44/280,629.92
  6. Step 6: Final answer
    x = 211,602.60

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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.