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Finding the Fourth Proportional to 475,271.62, 712,906.79 and 159,949.96

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Solution

The fourth proportional to 475,271.62, 712,906.79 and 159,949.96 is: 239,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,271.62 : 712,906.79 = 159,949.96 : x
  2. Step 2: Convert to fraction form
    475,271.62/712,906.79 = 159,949.96/x
  3. Step 3: Cross multiply
    475,271.62x = 712,906.79 × 159,949.96
  4. Step 4: Simplify right side
    475,271.62x = 114,029,409,962.21
  5. Step 5: Solve for x
    x = 114,029,409,962.21/475,271.62
  6. Step 6: Final answer
    x = 239,924.72

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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.