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Finding the Fourth Proportional to 590,456.93, 814,941.68 and 369,796.46

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Solution

The fourth proportional to 590,456.93, 814,941.68 and 369,796.46 is: 510,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,456.93 : 814,941.68 = 369,796.46 : x
  2. Step 2: Convert to fraction form
    590,456.93/814,941.68 = 369,796.46/x
  3. Step 3: Cross multiply
    590,456.93x = 814,941.68 × 369,796.46
  4. Step 4: Simplify right side
    590,456.93x = 301,362,542,446.76
  5. Step 5: Solve for x
    x = 301,362,542,446.76/590,456.93
  6. Step 6: Final answer
    x = 510,388.70

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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.