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Finding the Fourth Proportional to 313,363.80, 470,045.70 and 301,116.60

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Solution

The fourth proportional to 313,363.80, 470,045.70 and 301,116.60 is: 451,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,363.80 : 470,045.70 = 301,116.60 : x
  2. Step 2: Convert to fraction form
    313,363.80/470,045.70 = 301,116.60/x
  3. Step 3: Cross multiply
    313,363.80x = 470,045.70 × 301,116.60
  4. Step 4: Simplify right side
    313,363.80x = 141,538,563,028.62
  5. Step 5: Solve for x
    x = 141,538,563,028.62/313,363.80
  6. Step 6: Final answer
    x = 451,674.90

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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.