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Finding the Fourth Proportional to 513,081.72, 708,252.54 and 459,273.69

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Solution

The fourth proportional to 513,081.72, 708,252.54 and 459,273.69 is: 633,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,081.72 : 708,252.54 = 459,273.69 : x
  2. Step 2: Convert to fraction form
    513,081.72/708,252.54 = 459,273.69/x
  3. Step 3: Cross multiply
    513,081.72x = 708,252.54 × 459,273.69
  4. Step 4: Simplify right side
    513,081.72x = 325,281,757,497.67
  5. Step 5: Solve for x
    x = 325,281,757,497.67/513,081.72
  6. Step 6: Final answer
    x = 633,976.51

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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.