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Finding the Fourth Proportional to 380,074.02, 570,020.28 and 113,763.06

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Solution

The fourth proportional to 380,074.02, 570,020.28 and 113,763.06 is: 170,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,074.02 : 570,020.28 = 113,763.06 : x
  2. Step 2: Convert to fraction form
    380,074.02/570,020.28 = 113,763.06/x
  3. Step 3: Cross multiply
    380,074.02x = 570,020.28 × 113,763.06
  4. Step 4: Simplify right side
    380,074.02x = 64,847,251,314.86
  5. Step 5: Solve for x
    x = 64,847,251,314.86/380,074.02
  6. Step 6: Final answer
    x = 170,617.43

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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.