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Finding the Fourth Proportional to 314,425.20, 471,205.80 and 201,759.60

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Solution

The fourth proportional to 314,425.20, 471,205.80 and 201,759.60 is: 302,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,425.20 : 471,205.80 = 201,759.60 : x
  2. Step 2: Convert to fraction form
    314,425.20/471,205.80 = 201,759.60/x
  3. Step 3: Cross multiply
    314,425.20x = 471,205.80 × 201,759.60
  4. Step 4: Simplify right side
    314,425.20x = 95,070,293,725.68
  5. Step 5: Solve for x
    x = 95,070,293,725.68/314,425.20
  6. Step 6: Final answer
    x = 302,362.20

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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.