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Finding the Fourth Proportional to 529,742.57, 731,043.75 and 288,024.57

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Solution

The fourth proportional to 529,742.57, 731,043.75 and 288,024.57 is: 397,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,742.57 : 731,043.75 = 288,024.57 : x
  2. Step 2: Convert to fraction form
    529,742.57/731,043.75 = 288,024.57/x
  3. Step 3: Cross multiply
    529,742.57x = 731,043.75 × 288,024.57
  4. Step 4: Simplify right side
    529,742.57x = 210,558,560,071.75
  5. Step 5: Solve for x
    x = 210,558,560,071.75/529,742.57
  6. Step 6: Final answer
    x = 397,473.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.