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Finding the Fourth Proportional to 307,548.60, 461,104.17 and 117,848.22

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Solution

The fourth proportional to 307,548.60, 461,104.17 and 117,848.22 is: 176,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,548.60 : 461,104.17 = 117,848.22 : x
  2. Step 2: Convert to fraction form
    307,548.60/461,104.17 = 117,848.22/x
  3. Step 3: Cross multiply
    307,548.60x = 461,104.17 × 117,848.22
  4. Step 4: Simplify right side
    307,548.60x = 54,340,305,669.08
  5. Step 5: Solve for x
    x = 54,340,305,669.08/307,548.60
  6. Step 6: Final answer
    x = 176,688.52

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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.