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Finding the Fourth Proportional to 488,598.40, 733,116.30 and 222,221.80

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Solution

The fourth proportional to 488,598.40, 733,116.30 and 222,221.80 is: 333,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,598.40 : 733,116.30 = 222,221.80 : x
  2. Step 2: Convert to fraction form
    488,598.40/733,116.30 = 222,221.80/x
  3. Step 3: Cross multiply
    488,598.40x = 733,116.30 × 222,221.80
  4. Step 4: Simplify right side
    488,598.40x = 162,914,423,795.34
  5. Step 5: Solve for x
    x = 162,914,423,795.34/488,598.40
  6. Step 6: Final answer
    x = 333,432.17

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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.