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Finding the Fourth Proportional to 380,515.34, 570,838.62 and 170,169.68

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Solution

The fourth proportional to 380,515.34, 570,838.62 and 170,169.68 is: 255,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,515.34 : 570,838.62 = 170,169.68 : x
  2. Step 2: Convert to fraction form
    380,515.34/570,838.62 = 170,169.68/x
  3. Step 3: Cross multiply
    380,515.34x = 570,838.62 × 170,169.68
  4. Step 4: Simplify right side
    380,515.34x = 97,139,425,297.04
  5. Step 5: Solve for x
    x = 97,139,425,297.04/380,515.34
  6. Step 6: Final answer
    x = 255,283.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.