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Finding the Fourth Proportional to 601,128, 829,582.56 and 332,856

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Solution

The fourth proportional to 601,128, 829,582.56 and 332,856 is: 459,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,128 : 829,582.56 = 332,856 : x
  2. Step 2: Convert to fraction form
    601,128/829,582.56 = 332,856/x
  3. Step 3: Cross multiply
    601,128x = 829,582.56 × 332,856
  4. Step 4: Simplify right side
    601,128x = 276,131,532,591.36
  5. Step 5: Solve for x
    x = 276,131,532,591.36/601,128
  6. Step 6: Final answer
    x = 459,355.63

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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.