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Finding the Fourth Proportional to 509,840.40, 764,775.12 and 172,882

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Solution

The fourth proportional to 509,840.40, 764,775.12 and 172,882 is: 259,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,840.40 : 764,775.12 = 172,882 : x
  2. Step 2: Convert to fraction form
    509,840.40/764,775.12 = 172,882/x
  3. Step 3: Cross multiply
    509,840.40x = 764,775.12 × 172,882
  4. Step 4: Simplify right side
    509,840.40x = 132,215,852,295.84
  5. Step 5: Solve for x
    x = 132,215,852,295.84/509,840.40
  6. Step 6: Final answer
    x = 259,327.92

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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.