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Finding the Fourth Proportional to 289,378.20, 433,484.10 and 164,573.40

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Solution

The fourth proportional to 289,378.20, 433,484.10 and 164,573.40 is: 246,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,378.20 : 433,484.10 = 164,573.40 : x
  2. Step 2: Convert to fraction form
    289,378.20/433,484.10 = 164,573.40/x
  3. Step 3: Cross multiply
    289,378.20x = 433,484.10 × 164,573.40
  4. Step 4: Simplify right side
    289,378.20x = 71,339,952,182.94
  5. Step 5: Solve for x
    x = 71,339,952,182.94/289,378.20
  6. Step 6: Final answer
    x = 246,528.43

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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.