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Finding the Fourth Proportional to 298,537.60, 447,796.80 and 98,867.20

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Solution

The fourth proportional to 298,537.60, 447,796.80 and 98,867.20 is: 148,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,537.60 : 447,796.80 = 98,867.20 : x
  2. Step 2: Convert to fraction form
    298,537.60/447,796.80 = 98,867.20/x
  3. Step 3: Cross multiply
    298,537.60x = 447,796.80 × 98,867.20
  4. Step 4: Simplify right side
    298,537.60x = 44,272,415,784.96
  5. Step 5: Solve for x
    x = 44,272,415,784.96/298,537.60
  6. Step 6: Final answer
    x = 148,297.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.