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Finding the Fourth Proportional to 922,099.40, 1,383,198.30 and 290,964

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Solution

The fourth proportional to 922,099.40, 1,383,198.30 and 290,964 is: 436,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,099.40 : 1,383,198.30 = 290,964 : x
  2. Step 2: Convert to fraction form
    922,099.40/1,383,198.30 = 290,964/x
  3. Step 3: Cross multiply
    922,099.40x = 1,383,198.30 × 290,964
  4. Step 4: Simplify right side
    922,099.40x = 402,460,910,161.20
  5. Step 5: Solve for x
    x = 402,460,910,161.20/922,099.40
  6. Step 6: Final answer
    x = 436,461.53

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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.