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Finding the Fourth Proportional to 314,472.60, 471,708.90 and 209,496.60

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Solution

The fourth proportional to 314,472.60, 471,708.90 and 209,496.60 is: 314,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,472.60 : 471,708.90 = 209,496.60 : x
  2. Step 2: Convert to fraction form
    314,472.60/471,708.90 = 209,496.60/x
  3. Step 3: Cross multiply
    314,472.60x = 471,708.90 × 209,496.60
  4. Step 4: Simplify right side
    314,472.60x = 98,821,410,739.74
  5. Step 5: Solve for x
    x = 98,821,410,739.74/314,472.60
  6. Step 6: Final answer
    x = 314,244.90

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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.