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Finding the Fourth Proportional to 601,196, 829,676.56 and 332,924

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Solution

The fourth proportional to 601,196, 829,676.56 and 332,924 is: 459,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,196 : 829,676.56 = 332,924 : x
  2. Step 2: Convert to fraction form
    601,196/829,676.56 = 332,924/x
  3. Step 3: Cross multiply
    601,196x = 829,676.56 × 332,924
  4. Step 4: Simplify right side
    601,196x = 276,219,239,061.44
  5. Step 5: Solve for x
    x = 276,219,239,061.44/601,196
  6. Step 6: Final answer
    x = 459,449.56

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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.