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Finding the Fourth Proportional to 298,115.44, 447,345.38 and 157,874.06

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Solution

The fourth proportional to 298,115.44, 447,345.38 and 157,874.06 is: 236,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,115.44 : 447,345.38 = 157,874.06 : x
  2. Step 2: Convert to fraction form
    298,115.44/447,345.38 = 157,874.06/x
  3. Step 3: Cross multiply
    298,115.44x = 447,345.38 × 157,874.06
  4. Step 4: Simplify right side
    298,115.44x = 70,624,232,875.89
  5. Step 5: Solve for x
    x = 70,624,232,875.89/298,115.44
  6. Step 6: Final answer
    x = 236,902.30

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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.