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Finding the Fourth Proportional to 407,116.10, 610,710.60 and 170,409.80

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Solution

The fourth proportional to 407,116.10, 610,710.60 and 170,409.80 is: 255,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,116.10 : 610,710.60 = 170,409.80 : x
  2. Step 2: Convert to fraction form
    407,116.10/610,710.60 = 170,409.80/x
  3. Step 3: Cross multiply
    407,116.10x = 610,710.60 × 170,409.80
  4. Step 4: Simplify right side
    407,116.10x = 104,071,071,203.88
  5. Step 5: Solve for x
    x = 104,071,071,203.88/407,116.10
  6. Step 6: Final answer
    x = 255,629.96

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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.