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Finding the Fourth Proportional to 306,769.44, 423,338.44 and 170,800.40

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Solution

The fourth proportional to 306,769.44, 423,338.44 and 170,800.40 is: 235,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,769.44 : 423,338.44 = 170,800.40 : x
  2. Step 2: Convert to fraction form
    306,769.44/423,338.44 = 170,800.40/x
  3. Step 3: Cross multiply
    306,769.44x = 423,338.44 × 170,800.40
  4. Step 4: Simplify right side
    306,769.44x = 72,306,374,887.38
  5. Step 5: Solve for x
    x = 72,306,374,887.38/306,769.44
  6. Step 6: Final answer
    x = 235,702.67

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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.