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Finding the Fourth Proportional to 278,019.68, 383,632.81 and 197,417.79

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Solution

The fourth proportional to 278,019.68, 383,632.81 and 197,417.79 is: 272,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,019.68 : 383,632.81 = 197,417.79 : x
  2. Step 2: Convert to fraction form
    278,019.68/383,632.81 = 197,417.79/x
  3. Step 3: Cross multiply
    278,019.68x = 383,632.81 × 197,417.79
  4. Step 4: Simplify right side
    278,019.68x = 75,735,941,028.15
  5. Step 5: Solve for x
    x = 75,735,941,028.15/278,019.68
  6. Step 6: Final answer
    x = 272,412.16

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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.