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Finding the Fourth Proportional to 415,156.54, 572,913.49 and 233,926.84

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Solution

The fourth proportional to 415,156.54, 572,913.49 and 233,926.84 is: 322,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,156.54 : 572,913.49 = 233,926.84 : x
  2. Step 2: Convert to fraction form
    415,156.54/572,913.49 = 233,926.84/x
  3. Step 3: Cross multiply
    415,156.54x = 572,913.49 × 233,926.84
  4. Step 4: Simplify right side
    415,156.54x = 134,019,842,309.07
  5. Step 5: Solve for x
    x = 134,019,842,309.07/415,156.54
  6. Step 6: Final answer
    x = 322,817.61

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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.