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Finding the Fourth Proportional to 529,697.50, 730,982.55 and 291,233.50

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Solution

The fourth proportional to 529,697.50, 730,982.55 and 291,233.50 is: 401,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,697.50 : 730,982.55 = 291,233.50 : x
  2. Step 2: Convert to fraction form
    529,697.50/730,982.55 = 291,233.50/x
  3. Step 3: Cross multiply
    529,697.50x = 730,982.55 × 291,233.50
  4. Step 4: Simplify right side
    529,697.50x = 212,886,606,475.43
  5. Step 5: Solve for x
    x = 212,886,606,475.43/529,697.50
  6. Step 6: Final answer
    x = 401,902.23

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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.