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Finding the Fourth Proportional to 230,774.40, 317,996.28 and 170,249.40

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Solution

The fourth proportional to 230,774.40, 317,996.28 and 170,249.40 is: 234,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,774.40 : 317,996.28 = 170,249.40 : x
  2. Step 2: Convert to fraction form
    230,774.40/317,996.28 = 170,249.40/x
  3. Step 3: Cross multiply
    230,774.40x = 317,996.28 × 170,249.40
  4. Step 4: Simplify right side
    230,774.40x = 54,138,675,872.23
  5. Step 5: Solve for x
    x = 54,138,675,872.23/230,774.40
  6. Step 6: Final answer
    x = 234,595.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.