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Finding the Fourth Proportional to 529,494.24, 730,808.34 and 314,592.96

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Solution

The fourth proportional to 529,494.24, 730,808.34 and 314,592.96 is: 434,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,494.24 : 730,808.34 = 314,592.96 : x
  2. Step 2: Convert to fraction form
    529,494.24/730,808.34 = 314,592.96/x
  3. Step 3: Cross multiply
    529,494.24x = 730,808.34 × 314,592.96
  4. Step 4: Simplify right side
    529,494.24x = 229,907,158,873.29
  5. Step 5: Solve for x
    x = 229,907,158,873.29/529,494.24
  6. Step 6: Final answer
    x = 434,201.44

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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.