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Finding the Fourth Proportional to 423,505.30, 584,438.46 and 232,531.06

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Solution

The fourth proportional to 423,505.30, 584,438.46 and 232,531.06 is: 320,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,505.30 : 584,438.46 = 232,531.06 : x
  2. Step 2: Convert to fraction form
    423,505.30/584,438.46 = 232,531.06/x
  3. Step 3: Cross multiply
    423,505.30x = 584,438.46 × 232,531.06
  4. Step 4: Simplify right side
    423,505.30x = 135,900,094,608.57
  5. Step 5: Solve for x
    x = 135,900,094,608.57/423,505.30
  6. Step 6: Final answer
    x = 320,893.49

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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.