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Finding the Fourth Proportional to 706,286.10, 1,059,315.64 and 193,831.50

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Solution

The fourth proportional to 706,286.10, 1,059,315.64 and 193,831.50 is: 290,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,286.10 : 1,059,315.64 = 193,831.50 : x
  2. Step 2: Convert to fraction form
    706,286.10/1,059,315.64 = 193,831.50/x
  3. Step 3: Cross multiply
    706,286.10x = 1,059,315.64 × 193,831.50
  4. Step 4: Simplify right side
    706,286.10x = 205,328,738,990.08
  5. Step 5: Solve for x
    x = 205,328,738,990.08/706,286.10
  6. Step 6: Final answer
    x = 290,716.10

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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.