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Finding the Fourth Proportional to 314,627.20, 471,163.20 and 208,873.60

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Solution

The fourth proportional to 314,627.20, 471,163.20 and 208,873.60 is: 312,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,627.20 : 471,163.20 = 208,873.60 : x
  2. Step 2: Convert to fraction form
    314,627.20/471,163.20 = 208,873.60/x
  3. Step 3: Cross multiply
    314,627.20x = 471,163.20 × 208,873.60
  4. Step 4: Simplify right side
    314,627.20x = 98,413,553,771.52
  5. Step 5: Solve for x
    x = 98,413,553,771.52/314,627.20
  6. Step 6: Final answer
    x = 312,794.17

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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.