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Finding the Fourth Proportional to 310,453.36, 465,766 and 123,596.08

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Solution

The fourth proportional to 310,453.36, 465,766 and 123,596.08 is: 185,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,453.36 : 465,766 = 123,596.08 : x
  2. Step 2: Convert to fraction form
    310,453.36/465,766 = 123,596.08/x
  3. Step 3: Cross multiply
    310,453.36x = 465,766 × 123,596.08
  4. Step 4: Simplify right side
    310,453.36x = 57,566,851,797.28
  5. Step 5: Solve for x
    x = 57,566,851,797.28/310,453.36
  6. Step 6: Final answer
    x = 185,428.34

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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.