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Finding the Fourth Proportional to 504,412.38, 696,093.75 and 278,065.98

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Solution

The fourth proportional to 504,412.38, 696,093.75 and 278,065.98 is: 383,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,412.38 : 696,093.75 = 278,065.98 : x
  2. Step 2: Convert to fraction form
    504,412.38/696,093.75 = 278,065.98/x
  3. Step 3: Cross multiply
    504,412.38x = 696,093.75 × 278,065.98
  4. Step 4: Simplify right side
    504,412.38x = 193,559,990,765.63
  5. Step 5: Solve for x
    x = 193,559,990,765.63/504,412.38
  6. Step 6: Final answer
    x = 383,733.62

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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.