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Finding the Fourth Proportional to 600,814.53, 901,369.22 and 180,090

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Solution

The fourth proportional to 600,814.53, 901,369.22 and 180,090 is: 270,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,814.53 : 901,369.22 = 180,090 : x
  2. Step 2: Convert to fraction form
    600,814.53/901,369.22 = 180,090/x
  3. Step 3: Cross multiply
    600,814.53x = 901,369.22 × 180,090
  4. Step 4: Simplify right side
    600,814.53x = 162,327,581,929.35
  5. Step 5: Solve for x
    x = 162,327,581,929.35/600,814.53
  6. Step 6: Final answer
    x = 270,179.19

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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.