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Finding the Fourth Proportional to 601,212, 829,672.80 and 332,940

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Solution

The fourth proportional to 601,212, 829,672.80 and 332,940 is: 459,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,212 : 829,672.80 = 332,940 : x
  2. Step 2: Convert to fraction form
    601,212/829,672.80 = 332,940/x
  3. Step 3: Cross multiply
    601,212x = 829,672.80 × 332,940
  4. Step 4: Simplify right side
    601,212x = 276,231,262,032
  5. Step 5: Solve for x
    x = 276,231,262,032/601,212
  6. Step 6: Final answer
    x = 459,457.33

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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.