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Finding the Fourth Proportional to 509,360.93, 764,194.17 and 205,598.78

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Solution

The fourth proportional to 509,360.93, 764,194.17 and 205,598.78 is: 308,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,360.93 : 764,194.17 = 205,598.78 : x
  2. Step 2: Convert to fraction form
    509,360.93/764,194.17 = 205,598.78/x
  3. Step 3: Cross multiply
    509,360.93x = 764,194.17 × 205,598.78
  4. Step 4: Simplify right side
    509,360.93x = 157,117,389,035.11
  5. Step 5: Solve for x
    x = 157,117,389,035.11/509,360.93
  6. Step 6: Final answer
    x = 308,459.84

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Why These Related Problems?

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