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Finding the Fourth Proportional to 314,027.58, 470,863.00 and 214,308.59

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Solution

The fourth proportional to 314,027.58, 470,863.00 and 214,308.59 is: 321,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,027.58 : 470,863.00 = 214,308.59 : x
  2. Step 2: Convert to fraction form
    314,027.58/470,863.00 = 214,308.59/x
  3. Step 3: Cross multiply
    314,027.58x = 470,863.00 × 214,308.59
  4. Step 4: Simplify right side
    314,027.58x = 100,909,982,924.00
  5. Step 5: Solve for x
    x = 100,909,982,924.00/314,027.58
  6. Step 6: Final answer
    x = 321,341.14

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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.