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Finding the Fourth Proportional to 504,872.56, 696,712.92 and 278,518

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Solution

The fourth proportional to 504,872.56, 696,712.92 and 278,518 is: 384,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,872.56 : 696,712.92 = 278,518 : x
  2. Step 2: Convert to fraction form
    504,872.56/696,712.92 = 278,518/x
  3. Step 3: Cross multiply
    504,872.56x = 696,712.92 × 278,518
  4. Step 4: Simplify right side
    504,872.56x = 194,047,089,052.56
  5. Step 5: Solve for x
    x = 194,047,089,052.56/504,872.56
  6. Step 6: Final answer
    x = 384,348.65

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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.