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Finding the Fourth Proportional to 310,274.44, 465,385.66 and 123,235.72

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Solution

The fourth proportional to 310,274.44, 465,385.66 and 123,235.72 is: 184,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,274.44 : 465,385.66 = 123,235.72 : x
  2. Step 2: Convert to fraction form
    310,274.44/465,385.66 = 123,235.72/x
  3. Step 3: Cross multiply
    310,274.44x = 465,385.66 × 123,235.72
  4. Step 4: Simplify right side
    310,274.44x = 57,352,136,887.78
  5. Step 5: Solve for x
    x = 57,352,136,887.78/310,274.44
  6. Step 6: Final answer
    x = 184,843.25

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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.