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Finding the Fourth Proportional to 313,383.30, 469,880.55 and 180,197.70

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Solution

The fourth proportional to 313,383.30, 469,880.55 and 180,197.70 is: 270,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,383.30 : 469,880.55 = 180,197.70 : x
  2. Step 2: Convert to fraction form
    313,383.30/469,880.55 = 180,197.70/x
  3. Step 3: Cross multiply
    313,383.30x = 469,880.55 × 180,197.70
  4. Step 4: Simplify right side
    313,383.30x = 84,671,394,384.74
  5. Step 5: Solve for x
    x = 84,671,394,384.74/313,383.30
  6. Step 6: Final answer
    x = 270,184.77

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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.