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Finding the Fourth Proportional to 592,930.32, 818,242.82 and 320,998.12

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Solution

The fourth proportional to 592,930.32, 818,242.82 and 320,998.12 is: 442,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,930.32 : 818,242.82 = 320,998.12 : x
  2. Step 2: Convert to fraction form
    592,930.32/818,242.82 = 320,998.12/x
  3. Step 3: Cross multiply
    592,930.32x = 818,242.82 × 320,998.12
  4. Step 4: Simplify right side
    592,930.32x = 262,654,406,923.50
  5. Step 5: Solve for x
    x = 262,654,406,923.50/592,930.32
  6. Step 6: Final answer
    x = 442,976.85

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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.