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Finding the Fourth Proportional to 415,926.46, 573,984.10 and 234,637.84

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Solution

The fourth proportional to 415,926.46, 573,984.10 and 234,637.84 is: 323,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,926.46 : 573,984.10 = 234,637.84 : x
  2. Step 2: Convert to fraction form
    415,926.46/573,984.10 = 234,637.84/x
  3. Step 3: Cross multiply
    415,926.46x = 573,984.10 × 234,637.84
  4. Step 4: Simplify right side
    415,926.46x = 134,678,389,418.34
  5. Step 5: Solve for x
    x = 134,678,389,418.34/415,926.46
  6. Step 6: Final answer
    x = 323,803.37

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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.