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Finding the Fourth Proportional to 310,649.64, 465,908.04 and 100,231.08

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Solution

The fourth proportional to 310,649.64, 465,908.04 and 100,231.08 is: 150,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,649.64 : 465,908.04 = 100,231.08 : x
  2. Step 2: Convert to fraction form
    310,649.64/465,908.04 = 100,231.08/x
  3. Step 3: Cross multiply
    310,649.64x = 465,908.04 × 100,231.08
  4. Step 4: Simplify right side
    310,649.64x = 46,698,466,029.88
  5. Step 5: Solve for x
    x = 46,698,466,029.88/310,649.64
  6. Step 6: Final answer
    x = 150,325.19

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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.