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Finding the Fourth Proportional to 313,867.06, 470,917.24 and 145,468.06

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Solution

The fourth proportional to 313,867.06, 470,917.24 and 145,468.06 is: 218,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,867.06 : 470,917.24 = 145,468.06 : x
  2. Step 2: Convert to fraction form
    313,867.06/470,917.24 = 145,468.06/x
  3. Step 3: Cross multiply
    313,867.06x = 470,917.24 × 145,468.06
  4. Step 4: Simplify right side
    313,867.06x = 68,503,417,323.35
  5. Step 5: Solve for x
    x = 68,503,417,323.35/313,867.06
  6. Step 6: Final answer
    x = 218,256.15

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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.