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Finding the Fourth Proportional to 297,051.96, 410,090.94 and 229,418.94

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Solution

The fourth proportional to 297,051.96, 410,090.94 and 229,418.94 is: 316,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,051.96 : 410,090.94 = 229,418.94 : x
  2. Step 2: Convert to fraction form
    297,051.96/410,090.94 = 229,418.94/x
  3. Step 3: Cross multiply
    297,051.96x = 410,090.94 × 229,418.94
  4. Step 4: Simplify right side
    297,051.96x = 94,082,628,758.40
  5. Step 5: Solve for x
    x = 94,082,628,758.40/297,051.96
  6. Step 6: Final answer
    x = 316,721.12

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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.