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Finding the Fourth Proportional to 313,770.84, 433,066.74 and 186,421.92

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Solution

The fourth proportional to 313,770.84, 433,066.74 and 186,421.92 is: 257,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,770.84 : 433,066.74 = 186,421.92 : x
  2. Step 2: Convert to fraction form
    313,770.84/433,066.74 = 186,421.92/x
  3. Step 3: Cross multiply
    313,770.84x = 433,066.74 × 186,421.92
  4. Step 4: Simplify right side
    313,770.84x = 80,733,133,158.94
  5. Step 5: Solve for x
    x = 80,733,133,158.94/313,770.84
  6. Step 6: Final answer
    x = 257,299.67

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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.