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Finding the Fourth Proportional to 286,836.20, 429,735.90 and 253,658.60

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Solution

The fourth proportional to 286,836.20, 429,735.90 and 253,658.60 is: 380,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,836.20 : 429,735.90 = 253,658.60 : x
  2. Step 2: Convert to fraction form
    286,836.20/429,735.90 = 253,658.60/x
  3. Step 3: Cross multiply
    286,836.20x = 429,735.90 × 253,658.60
  4. Step 4: Simplify right side
    286,836.20x = 109,006,206,763.74
  5. Step 5: Solve for x
    x = 109,006,206,763.74/286,836.20
  6. Step 6: Final answer
    x = 380,029.46

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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.