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Finding the Fourth Proportional to 714,788.40, 986,403.54 and 408,869.88

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Solution

The fourth proportional to 714,788.40, 986,403.54 and 408,869.88 is: 564,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,788.40 : 986,403.54 = 408,869.88 : x
  2. Step 2: Convert to fraction form
    714,788.40/986,403.54 = 408,869.88/x
  3. Step 3: Cross multiply
    714,788.40x = 986,403.54 × 408,869.88
  4. Step 4: Simplify right side
    714,788.40x = 403,310,694,987.03
  5. Step 5: Solve for x
    x = 403,310,694,987.03/714,788.40
  6. Step 6: Final answer
    x = 564,237.88

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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.