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Finding the Fourth Proportional to 313,913.76, 433,198.88 and 170,673.76

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Solution

The fourth proportional to 313,913.76, 433,198.88 and 170,673.76 is: 235,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,913.76 : 433,198.88 = 170,673.76 : x
  2. Step 2: Convert to fraction form
    313,913.76/433,198.88 = 170,673.76/x
  3. Step 3: Cross multiply
    313,913.76x = 433,198.88 × 170,673.76
  4. Step 4: Simplify right side
    313,913.76x = 73,935,681,677.39
  5. Step 5: Solve for x
    x = 73,935,681,677.39/313,913.76
  6. Step 6: Final answer
    x = 235,528.64

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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.