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Finding the Fourth Proportional to 529,221.56, 730,388.36 and 314,362.48

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Solution

The fourth proportional to 529,221.56, 730,388.36 and 314,362.48 is: 433,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,221.56 : 730,388.36 = 314,362.48 : x
  2. Step 2: Convert to fraction form
    529,221.56/730,388.36 = 314,362.48/x
  3. Step 3: Cross multiply
    529,221.56x = 730,388.36 × 314,362.48
  4. Step 4: Simplify right side
    529,221.56x = 229,606,696,212.73
  5. Step 5: Solve for x
    x = 229,606,696,212.73/529,221.56
  6. Step 6: Final answer
    x = 433,857.41

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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.