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Finding the Fourth Proportional to 505,296.38, 697,309.20 and 278,941.88

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Solution

The fourth proportional to 505,296.38, 697,309.20 and 278,941.88 is: 384,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,296.38 : 697,309.20 = 278,941.88 : x
  2. Step 2: Convert to fraction form
    505,296.38/697,309.20 = 278,941.88/x
  3. Step 3: Cross multiply
    505,296.38x = 697,309.20 × 278,941.88
  4. Step 4: Simplify right side
    505,296.38x = 194,508,735,702.75
  5. Step 5: Solve for x
    x = 194,508,735,702.75/505,296.38
  6. Step 6: Final answer
    x = 384,939.90

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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.