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Finding the Fourth Proportional to 312,437.97, 468,341.37 and 123,031.26

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Solution

The fourth proportional to 312,437.97, 468,341.37 and 123,031.26 is: 184,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,437.97 : 468,341.37 = 123,031.26 : x
  2. Step 2: Convert to fraction form
    312,437.97/468,341.37 = 123,031.26/x
  3. Step 3: Cross multiply
    312,437.97x = 468,341.37 × 123,031.26
  4. Step 4: Simplify right side
    312,437.97x = 57,620,628,861.23
  5. Step 5: Solve for x
    x = 57,620,628,861.23/312,437.97
  6. Step 6: Final answer
    x = 184,422.62

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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.