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Finding the Fourth Proportional to 601,204.97, 829,663.14 and 329,289.99

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Solution

The fourth proportional to 601,204.97, 829,663.14 and 329,289.99 is: 454,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,204.97 : 829,663.14 = 329,289.99 : x
  2. Step 2: Convert to fraction form
    601,204.97/829,663.14 = 329,289.99/x
  3. Step 3: Cross multiply
    601,204.97x = 829,663.14 × 329,289.99
  4. Step 4: Simplify right side
    601,204.97x = 273,199,767,073.97
  5. Step 5: Solve for x
    x = 273,199,767,073.97/601,204.97
  6. Step 6: Final answer
    x = 454,420.34

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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.