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Finding the Fourth Proportional to 277,827.60, 416,741.40 and 266,163.60

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Solution

The fourth proportional to 277,827.60, 416,741.40 and 266,163.60 is: 399,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,827.60 : 416,741.40 = 266,163.60 : x
  2. Step 2: Convert to fraction form
    277,827.60/416,741.40 = 266,163.60/x
  3. Step 3: Cross multiply
    277,827.60x = 416,741.40 × 266,163.60
  4. Step 4: Simplify right side
    277,827.60x = 110,921,391,293.04
  5. Step 5: Solve for x
    x = 110,921,391,293.04/277,827.60
  6. Step 6: Final answer
    x = 399,245.40

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1.5x scale

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.