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Finding the Fourth Proportional to 380,116.18, 570,176.70 and 99,631

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Solution

The fourth proportional to 380,116.18, 570,176.70 and 99,631 is: 149,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,116.18 : 570,176.70 = 99,631 : x
  2. Step 2: Convert to fraction form
    380,116.18/570,176.70 = 99,631/x
  3. Step 3: Cross multiply
    380,116.18x = 570,176.70 × 99,631
  4. Step 4: Simplify right side
    380,116.18x = 56,807,274,797.70
  5. Step 5: Solve for x
    x = 56,807,274,797.70/380,116.18
  6. Step 6: Final answer
    x = 149,447.14

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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.