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Finding the Fourth Proportional to 601,202, 829,684.84 and 332,930

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Solution

The fourth proportional to 601,202, 829,684.84 and 332,930 is: 459,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,202 : 829,684.84 = 332,930 : x
  2. Step 2: Convert to fraction form
    601,202/829,684.84 = 332,930/x
  3. Step 3: Cross multiply
    601,202x = 829,684.84 × 332,930
  4. Step 4: Simplify right side
    601,202x = 276,226,973,781.20
  5. Step 5: Solve for x
    x = 276,226,973,781.20/601,202
  6. Step 6: Final answer
    x = 459,457.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.