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Finding the Fourth Proportional to 357,610.46, 493,382.10 and 202,540.64

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Solution

The fourth proportional to 357,610.46, 493,382.10 and 202,540.64 is: 279,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,610.46 : 493,382.10 = 202,540.64 : x
  2. Step 2: Convert to fraction form
    357,610.46/493,382.10 = 202,540.64/x
  3. Step 3: Cross multiply
    357,610.46x = 493,382.10 × 202,540.64
  4. Step 4: Simplify right side
    357,610.46x = 99,929,926,298.54
  5. Step 5: Solve for x
    x = 99,929,926,298.54/357,610.46
  6. Step 6: Final answer
    x = 279,437.93

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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.