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Finding the Fourth Proportional to 277,575.21, 416,300.54 and 127,671.48

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Solution

The fourth proportional to 277,575.21, 416,300.54 and 127,671.48 is: 191,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,575.21 : 416,300.54 = 127,671.48 : x
  2. Step 2: Convert to fraction form
    277,575.21/416,300.54 = 127,671.48/x
  3. Step 3: Cross multiply
    277,575.21x = 416,300.54 × 127,671.48
  4. Step 4: Simplify right side
    277,575.21x = 53,149,705,428.24
  5. Step 5: Solve for x
    x = 53,149,705,428.24/277,575.21
  6. Step 6: Final answer
    x = 191,478.57

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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.