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Finding the Fourth Proportional to 286,276.40, 429,414.60 and 279,715.40

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Solution

The fourth proportional to 286,276.40, 429,414.60 and 279,715.40 is: 419,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,276.40 : 429,414.60 = 279,715.40 : x
  2. Step 2: Convert to fraction form
    286,276.40/429,414.60 = 279,715.40/x
  3. Step 3: Cross multiply
    286,276.40x = 429,414.60 × 279,715.40
  4. Step 4: Simplify right side
    286,276.40x = 120,113,876,604.84
  5. Step 5: Solve for x
    x = 120,113,876,604.84/286,276.40
  6. Step 6: Final answer
    x = 419,573.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.