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Finding the Fourth Proportional to 505,238.69, 697,235.09 and 278,884.13

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Solution

The fourth proportional to 505,238.69, 697,235.09 and 278,884.13 is: 384,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,238.69 : 697,235.09 = 278,884.13 : x
  2. Step 2: Convert to fraction form
    505,238.69/697,235.09 = 278,884.13/x
  3. Step 3: Cross multiply
    505,238.69x = 697,235.09 × 278,884.13
  4. Step 4: Simplify right side
    505,238.69x = 194,447,800,085.70
  5. Step 5: Solve for x
    x = 194,447,800,085.70/505,238.69
  6. Step 6: Final answer
    x = 384,863.24

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Double scale
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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.