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Finding the Fourth Proportional to 393,319.50, 589,981.41 and 97,831.50

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Solution

The fourth proportional to 393,319.50, 589,981.41 and 97,831.50 is: 146,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,319.50 : 589,981.41 = 97,831.50 : x
  2. Step 2: Convert to fraction form
    393,319.50/589,981.41 = 97,831.50/x
  3. Step 3: Cross multiply
    393,319.50x = 589,981.41 × 97,831.50
  4. Step 4: Simplify right side
    393,319.50x = 57,718,766,312.42
  5. Step 5: Solve for x
    x = 57,718,766,312.42/393,319.50
  6. Step 6: Final answer
    x = 146,747.79

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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.