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Finding the Fourth Proportional to 209,622.80, 314,434.20 and 203,790.80

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Solution

The fourth proportional to 209,622.80, 314,434.20 and 203,790.80 is: 305,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622.80 : 314,434.20 = 203,790.80 : x
  2. Step 2: Convert to fraction form
    209,622.80/314,434.20 = 203,790.80/x
  3. Step 3: Cross multiply
    209,622.80x = 314,434.20 × 203,790.80
  4. Step 4: Simplify right side
    209,622.80x = 64,078,797,165.36
  5. Step 5: Solve for x
    x = 64,078,797,165.36/209,622.80
  6. Step 6: Final answer
    x = 305,686.20

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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.