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Finding the Fourth Proportional to 969,337, 1,454,137.98 and 338,156.20

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Solution

The fourth proportional to 969,337, 1,454,137.98 and 338,156.20 is: 507,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,337 : 1,454,137.98 = 338,156.20 : x
  2. Step 2: Convert to fraction form
    969,337/1,454,137.98 = 338,156.20/x
  3. Step 3: Cross multiply
    969,337x = 1,454,137.98 × 338,156.20
  4. Step 4: Simplify right side
    969,337x = 491,725,773,592.48
  5. Step 5: Solve for x
    x = 491,725,773,592.48/969,337
  6. Step 6: Final answer
    x = 507,280.52

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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.