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Finding the Fourth Proportional to 365,268.42, 504,391.11 and 229,537.50

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Solution

The fourth proportional to 365,268.42, 504,391.11 and 229,537.50 is: 316,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,268.42 : 504,391.11 = 229,537.50 : x
  2. Step 2: Convert to fraction form
    365,268.42/504,391.11 = 229,537.50/x
  3. Step 3: Cross multiply
    365,268.42x = 504,391.11 × 229,537.50
  4. Step 4: Simplify right side
    365,268.42x = 115,776,674,411.63
  5. Step 5: Solve for x
    x = 115,776,674,411.63/365,268.42
  6. Step 6: Final answer
    x = 316,963.27

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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.