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Finding the Fourth Proportional to 314,076.60, 470,957.22 and 145,451.88

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Solution

The fourth proportional to 314,076.60, 470,957.22 and 145,451.88 is: 218,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,076.60 : 470,957.22 = 145,451.88 : x
  2. Step 2: Convert to fraction form
    314,076.60/470,957.22 = 145,451.88/x
  3. Step 3: Cross multiply
    314,076.60x = 470,957.22 × 145,451.88
  4. Step 4: Simplify right side
    314,076.60x = 68,501,613,048.57
  5. Step 5: Solve for x
    x = 68,501,613,048.57/314,076.60
  6. Step 6: Final answer
    x = 218,104.80

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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.