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Finding the Fourth Proportional to 313,677.66, 470,445.90 and 89,033.34

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Solution

The fourth proportional to 313,677.66, 470,445.90 and 89,033.34 is: 133,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,677.66 : 470,445.90 = 89,033.34 : x
  2. Step 2: Convert to fraction form
    313,677.66/470,445.90 = 89,033.34/x
  3. Step 3: Cross multiply
    313,677.66x = 470,445.90 × 89,033.34
  4. Step 4: Simplify right side
    313,677.66x = 41,885,369,766.31
  5. Step 5: Solve for x
    x = 41,885,369,766.31/313,677.66
  6. Step 6: Final answer
    x = 133,529.97

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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.