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Finding the Fourth Proportional to 505,084.38, 697,017.33 and 278,729.88

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Solution

The fourth proportional to 505,084.38, 697,017.33 and 278,729.88 is: 384,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,084.38 : 697,017.33 = 278,729.88 : x
  2. Step 2: Convert to fraction form
    505,084.38/697,017.33 = 278,729.88/x
  3. Step 3: Cross multiply
    505,084.38x = 697,017.33 × 278,729.88
  4. Step 4: Simplify right side
    505,084.38x = 194,279,556,748.82
  5. Step 5: Solve for x
    x = 194,279,556,748.82/505,084.38
  6. Step 6: Final answer
    x = 384,647.72

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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.