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Finding the Fourth Proportional to 313,838.38, 433,091.82 and 170,602

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Solution

The fourth proportional to 313,838.38, 433,091.82 and 170,602 is: 235,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,838.38 : 433,091.82 = 170,602 : x
  2. Step 2: Convert to fraction form
    313,838.38/433,091.82 = 170,602/x
  3. Step 3: Cross multiply
    313,838.38x = 433,091.82 × 170,602
  4. Step 4: Simplify right side
    313,838.38x = 73,886,330,675.64
  5. Step 5: Solve for x
    x = 73,886,330,675.64/313,838.38
  6. Step 6: Final answer
    x = 235,427.96

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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.