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Finding the Fourth Proportional to 273,296.83, 409,814.02 and 154,936.39

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Solution

The fourth proportional to 273,296.83, 409,814.02 and 154,936.39 is: 232,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,296.83 : 409,814.02 = 154,936.39 : x
  2. Step 2: Convert to fraction form
    273,296.83/409,814.02 = 154,936.39/x
  3. Step 3: Cross multiply
    273,296.83x = 409,814.02 × 154,936.39
  4. Step 4: Simplify right side
    273,296.83x = 63,495,104,830.19
  5. Step 5: Solve for x
    x = 63,495,104,830.19/273,296.83
  6. Step 6: Final answer
    x = 232,330.19

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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.