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Finding the Fourth Proportional to 601,192, 829,671.04 and 332,920

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Solution

The fourth proportional to 601,192, 829,671.04 and 332,920 is: 459,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,192 : 829,671.04 = 332,920 : x
  2. Step 2: Convert to fraction form
    601,192/829,671.04 = 332,920/x
  3. Step 3: Cross multiply
    601,192x = 829,671.04 × 332,920
  4. Step 4: Simplify right side
    601,192x = 276,214,082,636.80
  5. Step 5: Solve for x
    x = 276,214,082,636.80/601,192
  6. Step 6: Final answer
    x = 459,444.04

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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.