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Finding the Fourth Proportional to 414,404.51, 571,838.13 and 233,179.16

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Solution

The fourth proportional to 414,404.51, 571,838.13 and 233,179.16 is: 321,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,404.51 : 571,838.13 = 233,179.16 : x
  2. Step 2: Convert to fraction form
    414,404.51/571,838.13 = 233,179.16/x
  3. Step 3: Cross multiply
    414,404.51x = 571,838.13 × 233,179.16
  4. Step 4: Simplify right side
    414,404.51x = 133,340,731,950.18
  5. Step 5: Solve for x
    x = 133,340,731,950.18/414,404.51
  6. Step 6: Final answer
    x = 321,764.68

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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.