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Finding the Fourth Proportional to 436,099.20, 654,019.20 and 169,706.40

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Solution

The fourth proportional to 436,099.20, 654,019.20 and 169,706.40 is: 254,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,099.20 : 654,019.20 = 169,706.40 : x
  2. Step 2: Convert to fraction form
    436,099.20/654,019.20 = 169,706.40/x
  3. Step 3: Cross multiply
    436,099.20x = 654,019.20 × 169,706.40
  4. Step 4: Simplify right side
    436,099.20x = 110,991,243,962.88
  5. Step 5: Solve for x
    x = 110,991,243,962.88/436,099.20
  6. Step 6: Final answer
    x = 254,509.17

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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.