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Finding the Fourth Proportional to 313,938.80, 470,908.20 and 114,265.70

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Solution

The fourth proportional to 313,938.80, 470,908.20 and 114,265.70 is: 171,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,938.80 : 470,908.20 = 114,265.70 : x
  2. Step 2: Convert to fraction form
    313,938.80/470,908.20 = 114,265.70/x
  3. Step 3: Cross multiply
    313,938.80x = 470,908.20 × 114,265.70
  4. Step 4: Simplify right side
    313,938.80x = 53,808,655,108.74
  5. Step 5: Solve for x
    x = 53,808,655,108.74/313,938.80
  6. Step 6: Final answer
    x = 171,398.55

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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.