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Finding the Fourth Proportional to 322,401.40, 483,602.10 and 274,708.60

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Solution

The fourth proportional to 322,401.40, 483,602.10 and 274,708.60 is: 412,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,401.40 : 483,602.10 = 274,708.60 : x
  2. Step 2: Convert to fraction form
    322,401.40/483,602.10 = 274,708.60/x
  3. Step 3: Cross multiply
    322,401.40x = 483,602.10 × 274,708.60
  4. Step 4: Simplify right side
    322,401.40x = 132,849,655,848.06
  5. Step 5: Solve for x
    x = 132,849,655,848.06/322,401.40
  6. Step 6: Final answer
    x = 412,062.90

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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.