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Finding the Fourth Proportional to 592,010.76, 816,958.26 and 323,733

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Solution

The fourth proportional to 592,010.76, 816,958.26 and 323,733 is: 446,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,010.76 : 816,958.26 = 323,733 : x
  2. Step 2: Convert to fraction form
    592,010.76/816,958.26 = 323,733/x
  3. Step 3: Cross multiply
    592,010.76x = 816,958.26 × 323,733
  4. Step 4: Simplify right side
    592,010.76x = 264,476,348,384.58
  5. Step 5: Solve for x
    x = 264,476,348,384.58/592,010.76
  6. Step 6: Final answer
    x = 446,742.47

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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.