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Finding the Fourth Proportional to 420,116.63, 579,760.94 and 229,131.38

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Solution

The fourth proportional to 420,116.63, 579,760.94 and 229,131.38 is: 316,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,116.63 : 579,760.94 = 229,131.38 : x
  2. Step 2: Convert to fraction form
    420,116.63/579,760.94 = 229,131.38/x
  3. Step 3: Cross multiply
    420,116.63x = 579,760.94 × 229,131.38
  4. Step 4: Simplify right side
    420,116.63x = 132,841,426,274.53
  5. Step 5: Solve for x
    x = 132,841,426,274.53/420,116.63
  6. Step 6: Final answer
    x = 316,201.31

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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.