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Finding the Fourth Proportional to 277,580.22, 416,308.02 and 127,676.48

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Solution

The fourth proportional to 277,580.22, 416,308.02 and 127,676.48 is: 191,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580.22 : 416,308.02 = 127,676.48 : x
  2. Step 2: Convert to fraction form
    277,580.22/416,308.02 = 127,676.48/x
  3. Step 3: Cross multiply
    277,580.22x = 416,308.02 × 127,676.48
  4. Step 4: Simplify right side
    277,580.22x = 53,152,742,589.37
  5. Step 5: Solve for x
    x = 53,152,742,589.37/277,580.22
  6. Step 6: Final answer
    x = 191,486.06

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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.