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Finding the Fourth Proportional to 519,698.13, 774,743.28 and 511,508.52

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Solution

The fourth proportional to 519,698.13, 774,743.28 and 511,508.52 is: 762,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,698.13 : 774,743.28 = 511,508.52 : x
  2. Step 2: Convert to fraction form
    519,698.13/774,743.28 = 511,508.52/x
  3. Step 3: Cross multiply
    519,698.13x = 774,743.28 × 511,508.52
  4. Step 4: Simplify right side
    519,698.13x = 396,287,788,532.75
  5. Step 5: Solve for x
    x = 396,287,788,532.75/519,698.13
  6. Step 6: Final answer
    x = 762,534.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.