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Finding the Fourth Proportional to 512,926.69, 708,036.38 and 459,116.77

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Solution

The fourth proportional to 512,926.69, 708,036.38 and 459,116.77 is: 633,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,926.69 : 708,036.38 = 459,116.77 : x
  2. Step 2: Convert to fraction form
    512,926.69/708,036.38 = 459,116.77/x
  3. Step 3: Cross multiply
    512,926.69x = 708,036.38 × 459,116.77
  4. Step 4: Simplify right side
    512,926.69x = 325,071,375,828.09
  5. Step 5: Solve for x
    x = 325,071,375,828.09/512,926.69
  6. Step 6: Final answer
    x = 633,757.97

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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.