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Finding the Fourth Proportional to 277,599.60, 416,675.88 and 152,999.28

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Solution

The fourth proportional to 277,599.60, 416,675.88 and 152,999.28 is: 229,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,599.60 : 416,675.88 = 152,999.28 : x
  2. Step 2: Convert to fraction form
    277,599.60/416,675.88 = 152,999.28/x
  3. Step 3: Cross multiply
    277,599.60x = 416,675.88 × 152,999.28
  4. Step 4: Simplify right side
    277,599.60x = 63,751,109,633.37
  5. Step 5: Solve for x
    x = 63,751,109,633.37/277,599.60
  6. Step 6: Final answer
    x = 229,651.30

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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.