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Finding the Fourth Proportional to 289,037.40, 433,556.10 and 164,621.40

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Solution

The fourth proportional to 289,037.40, 433,556.10 and 164,621.40 is: 246,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,037.40 : 433,556.10 = 164,621.40 : x
  2. Step 2: Convert to fraction form
    289,037.40/433,556.10 = 164,621.40/x
  3. Step 3: Cross multiply
    289,037.40x = 433,556.10 × 164,621.40
  4. Step 4: Simplify right side
    289,037.40x = 71,372,612,160.54
  5. Step 5: Solve for x
    x = 71,372,612,160.54/289,037.40
  6. Step 6: Final answer
    x = 246,932.10

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1.5x scale

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.