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Finding the Fourth Proportional to 294,313.25, 406,165.62 and 173,459.63

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Solution

The fourth proportional to 294,313.25, 406,165.62 and 173,459.63 is: 239,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,313.25 : 406,165.62 = 173,459.63 : x
  2. Step 2: Convert to fraction form
    294,313.25/406,165.62 = 173,459.63/x
  3. Step 3: Cross multiply
    294,313.25x = 406,165.62 × 173,459.63
  4. Step 4: Simplify right side
    294,313.25x = 70,453,338,163.92
  5. Step 5: Solve for x
    x = 70,453,338,163.92/294,313.25
  6. Step 6: Final answer
    x = 239,382.15

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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.