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Finding the Fourth Proportional to 313,226.55, 469,510.20 and 199,460.85

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Solution

The fourth proportional to 313,226.55, 469,510.20 and 199,460.85 is: 298,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,226.55 : 469,510.20 = 199,460.85 : x
  2. Step 2: Convert to fraction form
    313,226.55/469,510.20 = 199,460.85/x
  3. Step 3: Cross multiply
    313,226.55x = 469,510.20 × 199,460.85
  4. Step 4: Simplify right side
    313,226.55x = 93,648,903,575.67
  5. Step 5: Solve for x
    x = 93,648,903,575.67/313,226.55
  6. Step 6: Final answer
    x = 298,981.37

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1.5x scale

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.