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Finding the Fourth Proportional to 307,076.76, 460,512.27 and 117,493.02

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Solution

The fourth proportional to 307,076.76, 460,512.27 and 117,493.02 is: 176,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,076.76 : 460,512.27 = 117,493.02 : x
  2. Step 2: Convert to fraction form
    307,076.76/460,512.27 = 117,493.02/x
  3. Step 3: Cross multiply
    307,076.76x = 460,512.27 × 117,493.02
  4. Step 4: Simplify right side
    307,076.76x = 54,106,977,349.36
  5. Step 5: Solve for x
    x = 54,106,977,349.36/307,076.76
  6. Step 6: Final answer
    x = 176,200.17

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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.