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Finding the Fourth Proportional to 310,144.28, 465,228.26 and 96,931.82

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Solution

The fourth proportional to 310,144.28, 465,228.26 and 96,931.82 is: 145,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,144.28 : 465,228.26 = 96,931.82 : x
  2. Step 2: Convert to fraction form
    310,144.28/465,228.26 = 96,931.82/x
  3. Step 3: Cross multiply
    310,144.28x = 465,228.26 × 96,931.82
  4. Step 4: Simplify right side
    310,144.28x = 45,095,422,999.14
  5. Step 5: Solve for x
    x = 45,095,422,999.14/310,144.28
  6. Step 6: Final answer
    x = 145,401.44

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1.5x scale

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.