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Finding the Fourth Proportional to 380,467.16, 570,744.48 and 222,696.98

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Solution

The fourth proportional to 380,467.16, 570,744.48 and 222,696.98 is: 334,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,467.16 : 570,744.48 = 222,696.98 : x
  2. Step 2: Convert to fraction form
    380,467.16/570,744.48 = 222,696.98/x
  3. Step 3: Cross multiply
    380,467.16x = 570,744.48 × 222,696.98
  4. Step 4: Simplify right side
    380,467.16x = 127,103,072,047.67
  5. Step 5: Solve for x
    x = 127,103,072,047.67/380,467.16
  6. Step 6: Final answer
    x = 334,071.07

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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.