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Finding the Fourth Proportional to 504,954, 696,846.24 and 278,594.64

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Solution

The fourth proportional to 504,954, 696,846.24 and 278,594.64 is: 384,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,954 : 696,846.24 = 278,594.64 : x
  2. Step 2: Convert to fraction form
    504,954/696,846.24 = 278,594.64/x
  3. Step 3: Cross multiply
    504,954x = 696,846.24 × 278,594.64
  4. Step 4: Simplify right side
    504,954x = 194,137,627,368.15
  5. Step 5: Solve for x
    x = 194,137,627,368.15/504,954
  6. Step 6: Final answer
    x = 384,465.97

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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.