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Finding the Fourth Proportional to 531,243.50, 733,080.38 and 301,849.07

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Solution

The fourth proportional to 531,243.50, 733,080.38 and 301,849.07 is: 416,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,243.50 : 733,080.38 = 301,849.07 : x
  2. Step 2: Convert to fraction form
    531,243.50/733,080.38 = 301,849.07/x
  3. Step 3: Cross multiply
    531,243.50x = 733,080.38 × 301,849.07
  4. Step 4: Simplify right side
    531,243.50x = 221,279,625,763.60
  5. Step 5: Solve for x
    x = 221,279,625,763.60/531,243.50
  6. Step 6: Final answer
    x = 416,531.45

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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.