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Finding the Fourth Proportional to 601,077, 829,486.26 and 332,822.28

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Solution

The fourth proportional to 601,077, 829,486.26 and 332,822.28 is: 459,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,077 : 829,486.26 = 332,822.28 : x
  2. Step 2: Convert to fraction form
    601,077/829,486.26 = 332,822.28/x
  3. Step 3: Cross multiply
    601,077x = 829,486.26 × 332,822.28
  4. Step 4: Simplify right side
    601,077x = 276,071,508,281.87
  5. Step 5: Solve for x
    x = 276,071,508,281.87/601,077
  6. Step 6: Final answer
    x = 459,294.75

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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.