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Finding the Fourth Proportional to 415,190.33, 572,964.41 and 233,904.43

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Solution

The fourth proportional to 415,190.33, 572,964.41 and 233,904.43 is: 322,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,190.33 : 572,964.41 = 233,904.43 : x
  2. Step 2: Convert to fraction form
    415,190.33/572,964.41 = 233,904.43/x
  3. Step 3: Cross multiply
    415,190.33x = 572,964.41 × 233,904.43
  4. Step 4: Simplify right side
    415,190.33x = 134,018,913,731.34
  5. Step 5: Solve for x
    x = 134,018,913,731.34/415,190.33
  6. Step 6: Final answer
    x = 322,789.10

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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.