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Finding the Fourth Proportional to 277,605.60, 416,346 and 127,701.96

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Solution

The fourth proportional to 277,605.60, 416,346 and 127,701.96 is: 191,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,605.60 : 416,346 = 127,701.96 : x
  2. Step 2: Convert to fraction form
    277,605.60/416,346 = 127,701.96/x
  3. Step 3: Cross multiply
    277,605.60x = 416,346 × 127,701.96
  4. Step 4: Simplify right side
    277,605.60x = 53,168,200,238.16
  5. Step 5: Solve for x
    x = 53,168,200,238.16/277,605.60
  6. Step 6: Final answer
    x = 191,524.24

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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.