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Finding the Fourth Proportional to 300,420,329.96, 414,569,328.74 and 170,037,338.60

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Solution

The fourth proportional to 300,420,329.96, 414,569,328.74 and 170,037,338.60 is: 234,645,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,420,329.96 : 414,569,328.74 = 170,037,338.60 : x
  2. Step 2: Convert to fraction form
    300,420,329.96/414,569,328.74 = 170,037,338.60/x
  3. Step 3: Cross multiply
    300,420,329.96x = 414,569,328.74 × 170,037,338.60
  4. Step 4: Simplify right side
    300,420,329.96x = 70,492,265,324,138,088
  5. Step 5: Solve for x
    x = 70,492,265,324,138,088/300,420,329.96
  6. Step 6: Final answer
    x = 234,645,456.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.