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Finding the Fourth Proportional to 601,694.30, 829,859.82 and 511,349.33

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Solution

The fourth proportional to 601,694.30, 829,859.82 and 511,349.33 is: 705,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,694.30 : 829,859.82 = 511,349.33 : x
  2. Step 2: Convert to fraction form
    601,694.30/829,859.82 = 511,349.33/x
  3. Step 3: Cross multiply
    601,694.30x = 829,859.82 × 511,349.33
  4. Step 4: Simplify right side
    601,694.30x = 424,348,258,801.62
  5. Step 5: Solve for x
    x = 424,348,258,801.62/601,694.30
  6. Step 6: Final answer
    x = 705,255.58

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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.