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Finding the Fourth Proportional to 277,698.96, 416,534.60 and 97,793.27

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Solution

The fourth proportional to 277,698.96, 416,534.60 and 97,793.27 is: 146,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.96 : 416,534.60 = 97,793.27 : x
  2. Step 2: Convert to fraction form
    277,698.96/416,534.60 = 97,793.27/x
  3. Step 3: Cross multiply
    277,698.96x = 416,534.60 × 97,793.27
  4. Step 4: Simplify right side
    277,698.96x = 40,734,278,030.50
  5. Step 5: Solve for x
    x = 40,734,278,030.50/277,698.96
  6. Step 6: Final answer
    x = 146,685.02

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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.