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Finding the Fourth Proportional to 314,441.20, 471,229.80 and 201,775.60

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Solution

The fourth proportional to 314,441.20, 471,229.80 and 201,775.60 is: 302,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,441.20 : 471,229.80 = 201,775.60 : x
  2. Step 2: Convert to fraction form
    314,441.20/471,229.80 = 201,775.60/x
  3. Step 3: Cross multiply
    314,441.20x = 471,229.80 × 201,775.60
  4. Step 4: Simplify right side
    314,441.20x = 95,082,675,632.88
  5. Step 5: Solve for x
    x = 95,082,675,632.88/314,441.20
  6. Step 6: Final answer
    x = 302,386.19

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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.