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Finding the Fourth Proportional to 277,577.21, 416,303.53 and 127,673.48

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Solution

The fourth proportional to 277,577.21, 416,303.53 and 127,673.48 is: 191,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,577.21 : 416,303.53 = 127,673.48 : x
  2. Step 2: Convert to fraction form
    277,577.21/416,303.53 = 127,673.48/x
  3. Step 3: Cross multiply
    277,577.21x = 416,303.53 × 127,673.48
  4. Step 4: Simplify right side
    277,577.21x = 53,150,920,411.38
  5. Step 5: Solve for x
    x = 53,150,920,411.38/277,577.21
  6. Step 6: Final answer
    x = 191,481.57

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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.