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Finding the Fourth Proportional to 407,664.32, 610,873.04 and 170,877.92

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Solution

The fourth proportional to 407,664.32, 610,873.04 and 170,877.92 is: 256,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,664.32 : 610,873.04 = 170,877.92 : x
  2. Step 2: Convert to fraction form
    407,664.32/610,873.04 = 170,877.92/x
  3. Step 3: Cross multiply
    407,664.32x = 610,873.04 × 170,877.92
  4. Step 4: Simplify right side
    407,664.32x = 104,384,714,459.28
  5. Step 5: Solve for x
    x = 104,384,714,459.28/407,664.32
  6. Step 6: Final answer
    x = 256,055.56

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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.