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Finding the Fourth Proportional to 468,708.51, 646,814.53 and 253,843.66

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Solution

The fourth proportional to 468,708.51, 646,814.53 and 253,843.66 is: 350,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,708.51 : 646,814.53 = 253,843.66 : x
  2. Step 2: Convert to fraction form
    468,708.51/646,814.53 = 253,843.66/x
  3. Step 3: Cross multiply
    468,708.51x = 646,814.53 × 253,843.66
  4. Step 4: Simplify right side
    468,708.51x = 164,189,767,636.38
  5. Step 5: Solve for x
    x = 164,189,767,636.38/468,708.51
  6. Step 6: Final answer
    x = 350,302.51

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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.