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Finding the Fourth Proportional to 322,911.85, 484,392.54 and 98,291.46

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Solution

The fourth proportional to 322,911.85, 484,392.54 and 98,291.46 is: 147,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,911.85 : 484,392.54 = 98,291.46 : x
  2. Step 2: Convert to fraction form
    322,911.85/484,392.54 = 98,291.46/x
  3. Step 3: Cross multiply
    322,911.85x = 484,392.54 × 98,291.46
  4. Step 4: Simplify right side
    322,911.85x = 47,611,649,969.71
  5. Step 5: Solve for x
    x = 47,611,649,969.71/322,911.85
  6. Step 6: Final answer
    x = 147,444.73

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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.