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Finding the Fourth Proportional to 407,128.41, 610,498.49 and 182,490.71

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Solution

The fourth proportional to 407,128.41, 610,498.49 and 182,490.71 is: 273,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,128.41 : 610,498.49 = 182,490.71 : x
  2. Step 2: Convert to fraction form
    407,128.41/610,498.49 = 182,490.71/x
  3. Step 3: Cross multiply
    407,128.41x = 610,498.49 × 182,490.71
  4. Step 4: Simplify right side
    407,128.41x = 111,410,298,929.08
  5. Step 5: Solve for x
    x = 111,410,298,929.08/407,128.41
  6. Step 6: Final answer
    x = 273,649.04

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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.