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Finding the Fourth Proportional to 314,118.72, 470,999.57 and 214,399.62

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Solution

The fourth proportional to 314,118.72, 470,999.57 and 214,399.62 is: 321,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,118.72 : 470,999.57 = 214,399.62 : x
  2. Step 2: Convert to fraction form
    314,118.72/470,999.57 = 214,399.62/x
  3. Step 3: Cross multiply
    314,118.72x = 470,999.57 × 214,399.62
  4. Step 4: Simplify right side
    314,118.72x = 100,982,127,756.17
  5. Step 5: Solve for x
    x = 100,982,127,756.17/314,118.72
  6. Step 6: Final answer
    x = 321,477.59

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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.