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Finding the Fourth Proportional to 538,301.69, 806,690.84 and 298,521.06

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Solution

The fourth proportional to 538,301.69, 806,690.84 and 298,521.06 is: 447,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,301.69 : 806,690.84 = 298,521.06 : x
  2. Step 2: Convert to fraction form
    538,301.69/806,690.84 = 298,521.06/x
  3. Step 3: Cross multiply
    538,301.69x = 806,690.84 × 298,521.06
  4. Step 4: Simplify right side
    538,301.69x = 240,814,203,156.49
  5. Step 5: Solve for x
    x = 240,814,203,156.49/538,301.69
  6. Step 6: Final answer
    x = 447,359.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.