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Finding the Fourth Proportional to 407,162.88, 610,767.36 and 126,673.92

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Solution

The fourth proportional to 407,162.88, 610,767.36 and 126,673.92 is: 190,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,162.88 : 610,767.36 = 126,673.92 : x
  2. Step 2: Convert to fraction form
    407,162.88/610,767.36 = 126,673.92/x
  3. Step 3: Cross multiply
    407,162.88x = 610,767.36 × 126,673.92
  4. Step 4: Simplify right side
    407,162.88x = 77,368,295,699.25
  5. Step 5: Solve for x
    x = 77,368,295,699.25/407,162.88
  6. Step 6: Final answer
    x = 190,018.05

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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.