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Finding the Fourth Proportional to 665,093.40, 997,640.10 and 384,282.60

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Solution

The fourth proportional to 665,093.40, 997,640.10 and 384,282.60 is: 576,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,093.40 : 997,640.10 = 384,282.60 : x
  2. Step 2: Convert to fraction form
    665,093.40/997,640.10 = 384,282.60/x
  3. Step 3: Cross multiply
    665,093.40x = 997,640.10 × 384,282.60
  4. Step 4: Simplify right side
    665,093.40x = 383,375,731,492.26
  5. Step 5: Solve for x
    x = 383,375,731,492.26/665,093.40
  6. Step 6: Final answer
    x = 576,423.90

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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.