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Finding the Fourth Proportional to 415,827.24, 573,840.75 and 234,538.62

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Solution

The fourth proportional to 415,827.24, 573,840.75 and 234,538.62 is: 323,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,827.24 : 573,840.75 = 234,538.62 : x
  2. Step 2: Convert to fraction form
    415,827.24/573,840.75 = 234,538.62/x
  3. Step 3: Cross multiply
    415,827.24x = 573,840.75 × 234,538.62
  4. Step 4: Simplify right side
    415,827.24x = 134,587,817,604.77
  5. Step 5: Solve for x
    x = 134,587,817,604.77/415,827.24
  6. Step 6: Final answer
    x = 323,662.82

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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.