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Finding the Fourth Proportional to 505,295.50, 697,309.14 and 278,941

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Solution

The fourth proportional to 505,295.50, 697,309.14 and 278,941 is: 384,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,295.50 : 697,309.14 = 278,941 : x
  2. Step 2: Convert to fraction form
    505,295.50/697,309.14 = 278,941/x
  3. Step 3: Cross multiply
    505,295.50x = 697,309.14 × 278,941
  4. Step 4: Simplify right side
    505,295.50x = 194,508,108,820.74
  5. Step 5: Solve for x
    x = 194,508,108,820.74/505,295.50
  6. Step 6: Final answer
    x = 384,939.33

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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.