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Finding the Fourth Proportional to 407,966.93, 611,805.59 and 119,698.12

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Solution

The fourth proportional to 407,966.93, 611,805.59 and 119,698.12 is: 179,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,966.93 : 611,805.59 = 119,698.12 : x
  2. Step 2: Convert to fraction form
    407,966.93/611,805.59 = 119,698.12/x
  3. Step 3: Cross multiply
    407,966.93x = 611,805.59 × 119,698.12
  4. Step 4: Simplify right side
    407,966.93x = 73,231,976,800.49
  5. Step 5: Solve for x
    x = 73,231,976,800.49/407,966.93
  6. Step 6: Final answer
    x = 179,504.69

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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.