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Finding the Fourth Proportional to 313,783.14, 433,023.64 and 170,543.54

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Solution

The fourth proportional to 313,783.14, 433,023.64 and 170,543.54 is: 235,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,783.14 : 433,023.64 = 170,543.54 : x
  2. Step 2: Convert to fraction form
    313,783.14/433,023.64 = 170,543.54/x
  3. Step 3: Cross multiply
    313,783.14x = 433,023.64 × 170,543.54
  4. Step 4: Simplify right side
    313,783.14x = 73,849,384,469.29
  5. Step 5: Solve for x
    x = 73,849,384,469.29/313,783.14
  6. Step 6: Final answer
    x = 235,351.67

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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.