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Finding the Fourth Proportional to 493,164.80, 739,752.12 and 156,199.04

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Solution

The fourth proportional to 493,164.80, 739,752.12 and 156,199.04 is: 234,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,164.80 : 739,752.12 = 156,199.04 : x
  2. Step 2: Convert to fraction form
    493,164.80/739,752.12 = 156,199.04/x
  3. Step 3: Cross multiply
    493,164.80x = 739,752.12 × 156,199.04
  4. Step 4: Simplify right side
    493,164.80x = 115,548,570,981.97
  5. Step 5: Solve for x
    x = 115,548,570,981.97/493,164.80
  6. Step 6: Final answer
    x = 234,300.12

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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.