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Finding the Fourth Proportional to 407,114.10, 610,379.55 and 170,334.90

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Solution

The fourth proportional to 407,114.10, 610,379.55 and 170,334.90 is: 255,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.10 : 610,379.55 = 170,334.90 : x
  2. Step 2: Convert to fraction form
    407,114.10/610,379.55 = 170,334.90/x
  3. Step 3: Cross multiply
    407,114.10x = 610,379.55 × 170,334.90
  4. Step 4: Simplify right side
    407,114.10x = 103,968,939,611.30
  5. Step 5: Solve for x
    x = 103,968,939,611.30/407,114.10
  6. Step 6: Final answer
    x = 255,380.35

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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.