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Finding the Fourth Proportional to 468,505.09, 703,046.72 and 184,145.68

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Solution

The fourth proportional to 468,505.09, 703,046.72 and 184,145.68 is: 276,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,505.09 : 703,046.72 = 184,145.68 : x
  2. Step 2: Convert to fraction form
    468,505.09/703,046.72 = 184,145.68/x
  3. Step 3: Cross multiply
    468,505.09x = 703,046.72 × 184,145.68
  4. Step 4: Simplify right side
    468,505.09x = 129,463,013,647.82
  5. Step 5: Solve for x
    x = 129,463,013,647.82/468,505.09
  6. Step 6: Final answer
    x = 276,332.14

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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.