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Finding the Fourth Proportional to 209,460.40, 314,190.60 and 186,715.60

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Solution

The fourth proportional to 209,460.40, 314,190.60 and 186,715.60 is: 280,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,460.40 : 314,190.60 = 186,715.60 : x
  2. Step 2: Convert to fraction form
    209,460.40/314,190.60 = 186,715.60/x
  3. Step 3: Cross multiply
    209,460.40x = 314,190.60 × 186,715.60
  4. Step 4: Simplify right side
    209,460.40x = 58,664,286,393.36
  5. Step 5: Solve for x
    x = 58,664,286,393.36/209,460.40
  6. Step 6: Final answer
    x = 280,073.40

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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.