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Finding the Fourth Proportional to 313,883.69, 433,162.23 and 170,643.83

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Solution

The fourth proportional to 313,883.69, 433,162.23 and 170,643.83 is: 235,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,883.69 : 433,162.23 = 170,643.83 : x
  2. Step 2: Convert to fraction form
    313,883.69/433,162.23 = 170,643.83/x
  3. Step 3: Cross multiply
    313,883.69x = 433,162.23 × 170,643.83
  4. Step 4: Simplify right side
    313,883.69x = 73,916,461,938.54
  5. Step 5: Solve for x
    x = 73,916,461,938.54/313,883.69
  6. Step 6: Final answer
    x = 235,489.97

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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.