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Finding the Fourth Proportional to 531,614.26, 733,599.84 and 302,140.90

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Solution

The fourth proportional to 531,614.26, 733,599.84 and 302,140.90 is: 416,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,614.26 : 733,599.84 = 302,140.90 : x
  2. Step 2: Convert to fraction form
    531,614.26/733,599.84 = 302,140.90/x
  3. Step 3: Cross multiply
    531,614.26x = 733,599.84 × 302,140.90
  4. Step 4: Simplify right side
    531,614.26x = 221,650,515,897.46
  5. Step 5: Solve for x
    x = 221,650,515,897.46/531,614.26
  6. Step 6: Final answer
    x = 416,938.62

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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.