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Finding the Fourth Proportional to 307,253.46, 460,563.48 and 117,662.07

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Solution

The fourth proportional to 307,253.46, 460,563.48 and 117,662.07 is: 176,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,253.46 : 460,563.48 = 117,662.07 : x
  2. Step 2: Convert to fraction form
    307,253.46/460,563.48 = 117,662.07/x
  3. Step 3: Cross multiply
    307,253.46x = 460,563.48 × 117,662.07
  4. Step 4: Simplify right side
    307,253.46x = 54,190,852,423.20
  5. Step 5: Solve for x
    x = 54,190,852,423.20/307,253.46
  6. Step 6: Final answer
    x = 176,371.82

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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.