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Finding the Fourth Proportional to 313,967.82, 433,266.60 and 178,014.80

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Solution

The fourth proportional to 313,967.82, 433,266.60 and 178,014.80 is: 245,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,967.82 : 433,266.60 = 178,014.80 : x
  2. Step 2: Convert to fraction form
    313,967.82/433,266.60 = 178,014.80/x
  3. Step 3: Cross multiply
    313,967.82x = 433,266.60 × 178,014.80
  4. Step 4: Simplify right side
    313,967.82x = 77,127,867,145.68
  5. Step 5: Solve for x
    x = 77,127,867,145.68/313,967.82
  6. Step 6: Final answer
    x = 245,655.33

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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.