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Finding the Fourth Proportional to 414,103.68, 571,502.16 and 232,860.96

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Solution

The fourth proportional to 414,103.68, 571,502.16 and 232,860.96 is: 321,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,103.68 : 571,502.16 = 232,860.96 : x
  2. Step 2: Convert to fraction form
    414,103.68/571,502.16 = 232,860.96/x
  3. Step 3: Cross multiply
    414,103.68x = 571,502.16 × 232,860.96
  4. Step 4: Simplify right side
    414,103.68x = 133,080,541,619.67
  5. Step 5: Solve for x
    x = 133,080,541,619.67/414,103.68
  6. Step 6: Final answer
    x = 321,370.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.