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Finding the Fourth Proportional to 590,651.29, 815,077.13 and 361,122.91

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Solution

The fourth proportional to 590,651.29, 815,077.13 and 361,122.91 is: 498,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,651.29 : 815,077.13 = 361,122.91 : x
  2. Step 2: Convert to fraction form
    590,651.29/815,077.13 = 361,122.91/x
  3. Step 3: Cross multiply
    590,651.29x = 815,077.13 × 361,122.91
  4. Step 4: Simplify right side
    590,651.29x = 294,343,023,248.06
  5. Step 5: Solve for x
    x = 294,343,023,248.06/590,651.29
  6. Step 6: Final answer
    x = 498,336.37

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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.