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Finding the Fourth Proportional to 601,284, 829,742.52 and 329,353.20

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Solution

The fourth proportional to 601,284, 829,742.52 and 329,353.20 is: 454,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,284 : 829,742.52 = 329,353.20 : x
  2. Step 2: Convert to fraction form
    601,284/829,742.52 = 329,353.20/x
  3. Step 3: Cross multiply
    601,284x = 829,742.52 × 329,353.20
  4. Step 4: Simplify right side
    601,284x = 273,278,354,138.06
  5. Step 5: Solve for x
    x = 273,278,354,138.06/601,284
  6. Step 6: Final answer
    x = 454,491.31

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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.