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Finding the Fourth Proportional to 731,513, 1,096,273.20 and 411,817.34

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Solution

The fourth proportional to 731,513, 1,096,273.20 and 411,817.34 is: 617,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,513 : 1,096,273.20 = 411,817.34 : x
  2. Step 2: Convert to fraction form
    731,513/1,096,273.20 = 411,817.34/x
  3. Step 3: Cross multiply
    731,513x = 1,096,273.20 × 411,817.34
  4. Step 4: Simplify right side
    731,513x = 451,464,313,137.29
  5. Step 5: Solve for x
    x = 451,464,313,137.29/731,513
  6. Step 6: Final answer
    x = 617,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.