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Finding the Fourth Proportional to 356,969.24, 535,455.72 and 120,313.97

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Solution

The fourth proportional to 356,969.24, 535,455.72 and 120,313.97 is: 180,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,969.24 : 535,455.72 = 120,313.97 : x
  2. Step 2: Convert to fraction form
    356,969.24/535,455.72 = 120,313.97/x
  3. Step 3: Cross multiply
    356,969.24x = 535,455.72 × 120,313.97
  4. Step 4: Simplify right side
    356,969.24x = 64,422,802,830.84
  5. Step 5: Solve for x
    x = 64,422,802,830.84/356,969.24
  6. Step 6: Final answer
    x = 180,471.58

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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.