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Finding the Fourth Proportional to 413,369.15, 570,405.24 and 232,101

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Solution

The fourth proportional to 413,369.15, 570,405.24 and 232,101 is: 320,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,369.15 : 570,405.24 = 232,101 : x
  2. Step 2: Convert to fraction form
    413,369.15/570,405.24 = 232,101/x
  3. Step 3: Cross multiply
    413,369.15x = 570,405.24 × 232,101
  4. Step 4: Simplify right side
    413,369.15x = 132,391,626,609.24
  5. Step 5: Solve for x
    x = 132,391,626,609.24/413,369.15
  6. Step 6: Final answer
    x = 320,274.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.