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Finding the Fourth Proportional to 311,426.40, 429,784.12 and 190,529.84

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Solution

The fourth proportional to 311,426.40, 429,784.12 and 190,529.84 is: 262,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,426.40 : 429,784.12 = 190,529.84 : x
  2. Step 2: Convert to fraction form
    311,426.40/429,784.12 = 190,529.84/x
  3. Step 3: Cross multiply
    311,426.40x = 429,784.12 × 190,529.84
  4. Step 4: Simplify right side
    311,426.40x = 81,886,699,618.14
  5. Step 5: Solve for x
    x = 81,886,699,618.14/311,426.40
  6. Step 6: Final answer
    x = 262,940.78

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1.5x scale

Why These Related Problems?

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