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Finding the Fourth Proportional to 513,707.16, 708,991.09 and 295,873.97

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Solution

The fourth proportional to 513,707.16, 708,991.09 and 295,873.97 is: 408,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,707.16 : 708,991.09 = 295,873.97 : x
  2. Step 2: Convert to fraction form
    513,707.16/708,991.09 = 295,873.97/x
  3. Step 3: Cross multiply
    513,707.16x = 708,991.09 × 295,873.97
  4. Step 4: Simplify right side
    513,707.16x = 209,772,004,208.29
  5. Step 5: Solve for x
    x = 209,772,004,208.29/513,707.16
  6. Step 6: Final answer
    x = 408,349.39

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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.