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Finding the Fourth Proportional to 505,209.74, 697,206.32 and 275,780.62

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Solution

The fourth proportional to 505,209.74, 697,206.32 and 275,780.62 is: 380,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,209.74 : 697,206.32 = 275,780.62 : x
  2. Step 2: Convert to fraction form
    505,209.74/697,206.32 = 275,780.62/x
  3. Step 3: Cross multiply
    505,209.74x = 697,206.32 × 275,780.62
  4. Step 4: Simplify right side
    505,209.74x = 192,275,991,197.52
  5. Step 5: Solve for x
    x = 192,275,991,197.52/505,209.74
  6. Step 6: Final answer
    x = 380,586.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.