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Finding the Fourth Proportional to 289,045.40, 433,568.10 and 164,629.40

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Solution

The fourth proportional to 289,045.40, 433,568.10 and 164,629.40 is: 246,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,045.40 : 433,568.10 = 164,629.40 : x
  2. Step 2: Convert to fraction form
    289,045.40/433,568.10 = 164,629.40/x
  3. Step 3: Cross multiply
    289,045.40x = 433,568.10 × 164,629.40
  4. Step 4: Simplify right side
    289,045.40x = 71,378,056,162.14
  5. Step 5: Solve for x
    x = 71,378,056,162.14/289,045.40
  6. Step 6: Final answer
    x = 246,944.10

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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.