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Finding the Fourth Proportional to 289,013.40, 433,520.10 and 219,029.40

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Solution

The fourth proportional to 289,013.40, 433,520.10 and 219,029.40 is: 328,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,013.40 : 433,520.10 = 219,029.40 : x
  2. Step 2: Convert to fraction form
    289,013.40/433,520.10 = 219,029.40/x
  3. Step 3: Cross multiply
    289,013.40x = 433,520.10 × 219,029.40
  4. Step 4: Simplify right side
    289,013.40x = 94,953,647,390.94
  5. Step 5: Solve for x
    x = 94,953,647,390.94/289,013.40
  6. Step 6: Final answer
    x = 328,544.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.