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Finding the Fourth Proportional to 590,457.30, 814,942.31 and 369,796.89

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Solution

The fourth proportional to 590,457.30, 814,942.31 and 369,796.89 is: 510,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,457.30 : 814,942.31 = 369,796.89 : x
  2. Step 2: Convert to fraction form
    590,457.30/814,942.31 = 369,796.89/x
  3. Step 3: Cross multiply
    590,457.30x = 814,942.31 × 369,796.89
  4. Step 4: Simplify right side
    590,457.30x = 301,363,131,767.42
  5. Step 5: Solve for x
    x = 301,363,131,767.42/590,457.30
  6. Step 6: Final answer
    x = 510,389.37

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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.