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Finding the Fourth Proportional to 554,470.76, 765,169.54 and 299,822.12

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Solution

The fourth proportional to 554,470.76, 765,169.54 and 299,822.12 is: 413,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,470.76 : 765,169.54 = 299,822.12 : x
  2. Step 2: Convert to fraction form
    554,470.76/765,169.54 = 299,822.12/x
  3. Step 3: Cross multiply
    554,470.76x = 765,169.54 × 299,822.12
  4. Step 4: Simplify right side
    554,470.76x = 229,414,753,642.23
  5. Step 5: Solve for x
    x = 229,414,753,642.23/554,470.76
  6. Step 6: Final answer
    x = 413,754.47

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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.