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Finding the Fourth Proportional to 592,012, 816,976.56 and 323,740

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Solution

The fourth proportional to 592,012, 816,976.56 and 323,740 is: 446,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,012 : 816,976.56 = 323,740 : x
  2. Step 2: Convert to fraction form
    592,012/816,976.56 = 323,740/x
  3. Step 3: Cross multiply
    592,012x = 816,976.56 × 323,740
  4. Step 4: Simplify right side
    592,012x = 264,487,991,534.40
  5. Step 5: Solve for x
    x = 264,487,991,534.40/592,012
  6. Step 6: Final answer
    x = 446,761.20

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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.