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Finding the Fourth Proportional to 515,942.74, 711,961.95 and 289,544.50

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Solution

The fourth proportional to 515,942.74, 711,961.95 and 289,544.50 is: 399,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,942.74 : 711,961.95 = 289,544.50 : x
  2. Step 2: Convert to fraction form
    515,942.74/711,961.95 = 289,544.50/x
  3. Step 3: Cross multiply
    515,942.74x = 711,961.95 × 289,544.50
  4. Step 4: Simplify right side
    515,942.74x = 206,144,666,831.78
  5. Step 5: Solve for x
    x = 206,144,666,831.78/515,942.74
  6. Step 6: Final answer
    x = 399,549.51

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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.