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Finding the Fourth Proportional to 456,161.80, 683,205.90 and 288,200.20

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Solution

The fourth proportional to 456,161.80, 683,205.90 and 288,200.20 is: 431,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,161.80 : 683,205.90 = 288,200.20 : x
  2. Step 2: Convert to fraction form
    456,161.80/683,205.90 = 288,200.20/x
  3. Step 3: Cross multiply
    456,161.80x = 683,205.90 × 288,200.20
  4. Step 4: Simplify right side
    456,161.80x = 196,900,077,021.18
  5. Step 5: Solve for x
    x = 196,900,077,021.18/456,161.80
  6. Step 6: Final answer
    x = 431,645.26

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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.