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Finding the Fourth Proportional to 529,695, 730,979.10 and 291,231

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Solution

The fourth proportional to 529,695, 730,979.10 and 291,231 is: 401,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,695 : 730,979.10 = 291,231 : x
  2. Step 2: Convert to fraction form
    529,695/730,979.10 = 291,231/x
  3. Step 3: Cross multiply
    529,695x = 730,979.10 × 291,231
  4. Step 4: Simplify right side
    529,695x = 212,883,774,272.10
  5. Step 5: Solve for x
    x = 212,883,774,272.10/529,695
  6. Step 6: Final answer
    x = 401,898.78

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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.