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Finding the Fourth Proportional to 415,679.10, 573,588.41 and 234,380.23

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Solution

The fourth proportional to 415,679.10, 573,588.41 and 234,380.23 is: 323,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,679.10 : 573,588.41 = 234,380.23 : x
  2. Step 2: Convert to fraction form
    415,679.10/573,588.41 = 234,380.23/x
  3. Step 3: Cross multiply
    415,679.10x = 573,588.41 × 234,380.23
  4. Step 4: Simplify right side
    415,679.10x = 134,437,782,613.11
  5. Step 5: Solve for x
    x = 134,437,782,613.11/415,679.10
  6. Step 6: Final answer
    x = 323,417.23

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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.