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Finding the Fourth Proportional to 310,538.40, 428,588.28 and 174,583.56

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Solution

The fourth proportional to 310,538.40, 428,588.28 and 174,583.56 is: 240,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,538.40 : 428,588.28 = 174,583.56 : x
  2. Step 2: Convert to fraction form
    310,538.40/428,588.28 = 174,583.56/x
  3. Step 3: Cross multiply
    310,538.40x = 428,588.28 × 174,583.56
  4. Step 4: Simplify right side
    310,538.40x = 74,824,467,696.68
  5. Step 5: Solve for x
    x = 74,824,467,696.68/310,538.40
  6. Step 6: Final answer
    x = 240,950.77

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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.