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Finding the Fourth Proportional to 277,460.20, 416,384.70 and 177,862.60

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Solution

The fourth proportional to 277,460.20, 416,384.70 and 177,862.60 is: 266,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,460.20 : 416,384.70 = 177,862.60 : x
  2. Step 2: Convert to fraction form
    277,460.20/416,384.70 = 177,862.60/x
  3. Step 3: Cross multiply
    277,460.20x = 416,384.70 × 177,862.60
  4. Step 4: Simplify right side
    277,460.20x = 74,059,265,342.22
  5. Step 5: Solve for x
    x = 74,059,265,342.22/277,460.20
  6. Step 6: Final answer
    x = 266,918.52

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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.