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Finding the Fourth Proportional to 331,683.60, 457,362 and 224,066.88

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Solution

The fourth proportional to 331,683.60, 457,362 and 224,066.88 is: 308,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,683.60 : 457,362 = 224,066.88 : x
  2. Step 2: Convert to fraction form
    331,683.60/457,362 = 224,066.88/x
  3. Step 3: Cross multiply
    331,683.60x = 457,362 × 224,066.88
  4. Step 4: Simplify right side
    331,683.60x = 102,479,676,370.56
  5. Step 5: Solve for x
    x = 102,479,676,370.56/331,683.60
  6. Step 6: Final answer
    x = 308,968.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.