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Finding the Fourth Proportional to 589,338, 884,446.94 and 399,347.68

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Solution

The fourth proportional to 589,338, 884,446.94 and 399,347.68 is: 599,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,338 : 884,446.94 = 399,347.68 : x
  2. Step 2: Convert to fraction form
    589,338/884,446.94 = 399,347.68/x
  3. Step 3: Cross multiply
    589,338x = 884,446.94 × 399,347.68
  4. Step 4: Simplify right side
    589,338x = 353,201,833,572.10
  5. Step 5: Solve for x
    x = 353,201,833,572.10/589,338
  6. Step 6: Final answer
    x = 599,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.