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Finding the Fourth Proportional to 407,096.37, 610,646.12 and 170,272.92

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Solution

The fourth proportional to 407,096.37, 610,646.12 and 170,272.92 is: 255,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,096.37 : 610,646.12 = 170,272.92 : x
  2. Step 2: Convert to fraction form
    407,096.37/610,646.12 = 170,272.92/x
  3. Step 3: Cross multiply
    407,096.37x = 610,646.12 × 170,272.92
  4. Step 4: Simplify right side
    407,096.37x = 103,976,497,939.07
  5. Step 5: Solve for x
    x = 103,976,497,939.07/407,096.37
  6. Step 6: Final answer
    x = 255,410.03

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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.