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Finding the Fourth Proportional to 469,408.30, 702,946.05 and 376,096.30

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Solution

The fourth proportional to 469,408.30, 702,946.05 and 376,096.30 is: 563,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,408.30 : 702,946.05 = 376,096.30 : x
  2. Step 2: Convert to fraction form
    469,408.30/702,946.05 = 376,096.30/x
  3. Step 3: Cross multiply
    469,408.30x = 702,946.05 × 376,096.30
  4. Step 4: Simplify right side
    469,408.30x = 264,375,408,504.62
  5. Step 5: Solve for x
    x = 264,375,408,504.62/469,408.30
  6. Step 6: Final answer
    x = 563,209.91

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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.