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Finding the Fourth Proportional to 313,246, 469,763.68 and 113,524.56

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Solution

The fourth proportional to 313,246, 469,763.68 and 113,524.56 is: 170,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,246 : 469,763.68 = 113,524.56 : x
  2. Step 2: Convert to fraction form
    313,246/469,763.68 = 113,524.56/x
  3. Step 3: Cross multiply
    313,246x = 469,763.68 × 113,524.56
  4. Step 4: Simplify right side
    313,246x = 53,329,715,075.98
  5. Step 5: Solve for x
    x = 53,329,715,075.98/313,246
  6. Step 6: Final answer
    x = 170,248.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.