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Finding the Fourth Proportional to 601,921.91, 829,972.00 and 383,839.13

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Solution

The fourth proportional to 601,921.91, 829,972.00 and 383,839.13 is: 529,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,921.91 : 829,972.00 = 383,839.13 : x
  2. Step 2: Convert to fraction form
    601,921.91/829,972.00 = 383,839.13/x
  3. Step 3: Cross multiply
    601,921.91x = 829,972.00 × 383,839.13
  4. Step 4: Simplify right side
    601,921.91x = 318,575,732,959.09
  5. Step 5: Solve for x
    x = 318,575,732,959.09/601,921.91
  6. Step 6: Final answer
    x = 529,264.22

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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.