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Finding the Fourth Proportional to 307,429.36, 461,219.07 and 117,886.34

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Solution

The fourth proportional to 307,429.36, 461,219.07 and 117,886.34 is: 176,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,429.36 : 461,219.07 = 117,886.34 : x
  2. Step 2: Convert to fraction form
    307,429.36/461,219.07 = 117,886.34/x
  3. Step 3: Cross multiply
    307,429.36x = 461,219.07 × 117,886.34
  4. Step 4: Simplify right side
    307,429.36x = 54,371,428,100.50
  5. Step 5: Solve for x
    x = 54,371,428,100.50/307,429.36
  6. Step 6: Final answer
    x = 176,858.28

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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.