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Finding the Fourth Proportional to 416,583.06, 624,874.59 and 117,051.54

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Solution

The fourth proportional to 416,583.06, 624,874.59 and 117,051.54 is: 175,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,583.06 : 624,874.59 = 117,051.54 : x
  2. Step 2: Convert to fraction form
    416,583.06/624,874.59 = 117,051.54/x
  3. Step 3: Cross multiply
    416,583.06x = 624,874.59 × 117,051.54
  4. Step 4: Simplify right side
    416,583.06x = 73,142,533,066.37
  5. Step 5: Solve for x
    x = 73,142,533,066.37/416,583.06
  6. Step 6: Final answer
    x = 175,577.31

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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.