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Finding the Fourth Proportional to 298,074.90, 447,017.50 and 98,358.06

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Solution

The fourth proportional to 298,074.90, 447,017.50 and 98,358.06 is: 147,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,074.90 : 447,017.50 = 98,358.06 : x
  2. Step 2: Convert to fraction form
    298,074.90/447,017.50 = 98,358.06/x
  3. Step 3: Cross multiply
    298,074.90x = 447,017.50 × 98,358.06
  4. Step 4: Simplify right side
    298,074.90x = 43,967,774,086.05
  5. Step 5: Solve for x
    x = 43,967,774,086.05/298,074.90
  6. Step 6: Final answer
    x = 147,505.79

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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.