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Finding the Fourth Proportional to 469,410.30, 702,949.05 and 376,098.30

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Solution

The fourth proportional to 469,410.30, 702,949.05 and 376,098.30 is: 563,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,410.30 : 702,949.05 = 376,098.30 : x
  2. Step 2: Convert to fraction form
    469,410.30/702,949.05 = 376,098.30/x
  3. Step 3: Cross multiply
    469,410.30x = 702,949.05 × 376,098.30
  4. Step 4: Simplify right side
    469,410.30x = 264,377,942,691.62
  5. Step 5: Solve for x
    x = 264,377,942,691.62/469,410.30
  6. Step 6: Final answer
    x = 563,212.91

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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.