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Finding the Fourth Proportional to 380,463.66, 570,739.23 and 222,693.48

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Solution

The fourth proportional to 380,463.66, 570,739.23 and 222,693.48 is: 334,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,463.66 : 570,739.23 = 222,693.48 : x
  2. Step 2: Convert to fraction form
    380,463.66/570,739.23 = 222,693.48/x
  3. Step 3: Cross multiply
    380,463.66x = 570,739.23 × 222,693.48
  4. Step 4: Simplify right side
    380,463.66x = 127,099,905,301.22
  5. Step 5: Solve for x
    x = 127,099,905,301.22/380,463.66
  6. Step 6: Final answer
    x = 334,065.82

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1.5x scale

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.