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Finding the Fourth Proportional to 529,766, 731,077.08 and 291,302

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Solution

The fourth proportional to 529,766, 731,077.08 and 291,302 is: 401,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,766 : 731,077.08 = 291,302 : x
  2. Step 2: Convert to fraction form
    529,766/731,077.08 = 291,302/x
  3. Step 3: Cross multiply
    529,766x = 731,077.08 × 291,302
  4. Step 4: Simplify right side
    529,766x = 212,964,215,558.16
  5. Step 5: Solve for x
    x = 212,964,215,558.16/529,766
  6. Step 6: Final answer
    x = 401,996.76

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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.