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Finding the Fourth Proportional to 531,645.68, 733,672.28 and 302,204.50

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Solution

The fourth proportional to 531,645.68, 733,672.28 and 302,204.50 is: 417,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,645.68 : 733,672.28 = 302,204.50 : x
  2. Step 2: Convert to fraction form
    531,645.68/733,672.28 = 302,204.50/x
  3. Step 3: Cross multiply
    531,645.68x = 733,672.28 × 302,204.50
  4. Step 4: Simplify right side
    531,645.68x = 221,719,059,361.88
  5. Step 5: Solve for x
    x = 221,719,059,361.88/531,645.68
  6. Step 6: Final answer
    x = 417,042.91

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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.