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Finding the Fourth Proportional to 401,493.68, 602,049.88 and 233,065.68

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Solution

The fourth proportional to 401,493.68, 602,049.88 and 233,065.68 is: 349,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,493.68 : 602,049.88 = 233,065.68 : x
  2. Step 2: Convert to fraction form
    401,493.68/602,049.88 = 233,065.68/x
  3. Step 3: Cross multiply
    401,493.68x = 602,049.88 × 233,065.68
  4. Step 4: Simplify right side
    401,493.68x = 140,317,164,676.12
  5. Step 5: Solve for x
    x = 140,317,164,676.12/401,493.68
  6. Step 6: Final answer
    x = 349,487.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.