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Finding the Fourth Proportional to 277,172.01, 416,102.47 and 193,464.59

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Solution

The fourth proportional to 277,172.01, 416,102.47 and 193,464.59 is: 290,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,172.01 : 416,102.47 = 193,464.59 : x
  2. Step 2: Convert to fraction form
    277,172.01/416,102.47 = 193,464.59/x
  3. Step 3: Cross multiply
    277,172.01x = 416,102.47 × 193,464.59
  4. Step 4: Simplify right side
    277,172.01x = 80,501,091,192.36
  5. Step 5: Solve for x
    x = 80,501,091,192.36/277,172.01
  6. Step 6: Final answer
    x = 290,437.30

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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.