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Finding the Fourth Proportional to 519,989.82, 716,892.03 and 412,914.30

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Solution

The fourth proportional to 519,989.82, 716,892.03 and 412,914.30 is: 569,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,989.82 : 716,892.03 = 412,914.30 : x
  2. Step 2: Convert to fraction form
    519,989.82/716,892.03 = 412,914.30/x
  3. Step 3: Cross multiply
    519,989.82x = 716,892.03 × 412,914.30
  4. Step 4: Simplify right side
    519,989.82x = 296,014,970,743.03
  5. Step 5: Solve for x
    x = 296,014,970,743.03/519,989.82
  6. Step 6: Final answer
    x = 569,270.70

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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.