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Finding the Fourth Proportional to 277,695.60, 416,543.40 and 266,809.20

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Solution

The fourth proportional to 277,695.60, 416,543.40 and 266,809.20 is: 400,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.60 : 416,543.40 = 266,809.20 : x
  2. Step 2: Convert to fraction form
    277,695.60/416,543.40 = 266,809.20/x
  3. Step 3: Cross multiply
    277,695.60x = 416,543.40 × 266,809.20
  4. Step 4: Simplify right side
    277,695.60x = 111,137,611,319.28
  5. Step 5: Solve for x
    x = 111,137,611,319.28/277,695.60
  6. Step 6: Final answer
    x = 400,213.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.