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Finding the Fourth Proportional to 289,965.93, 434,770.23 and 100,382.19

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Solution

The fourth proportional to 289,965.93, 434,770.23 and 100,382.19 is: 150,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,965.93 : 434,770.23 = 100,382.19 : x
  2. Step 2: Convert to fraction form
    289,965.93/434,770.23 = 100,382.19/x
  3. Step 3: Cross multiply
    289,965.93x = 434,770.23 × 100,382.19
  4. Step 4: Simplify right side
    289,965.93x = 43,643,186,580.25
  5. Step 5: Solve for x
    x = 43,643,186,580.25/289,965.93
  6. Step 6: Final answer
    x = 150,511.43

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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.