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Finding the Fourth Proportional to 529,773.06, 731,071.31 and 300,351.50

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Solution

The fourth proportional to 529,773.06, 731,071.31 and 300,351.50 is: 414,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,773.06 : 731,071.31 = 300,351.50 : x
  2. Step 2: Convert to fraction form
    529,773.06/731,071.31 = 300,351.50/x
  3. Step 3: Cross multiply
    529,773.06x = 731,071.31 × 300,351.50
  4. Step 4: Simplify right side
    529,773.06x = 219,578,359,408.35
  5. Step 5: Solve for x
    x = 219,578,359,408.35/529,773.06
  6. Step 6: Final answer
    x = 414,476.27

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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.