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Finding the Fourth Proportional to 712,729.82, 983,194.32 and 440,710.76

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Solution

The fourth proportional to 712,729.82, 983,194.32 and 440,710.76 is: 607,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,729.82 : 983,194.32 = 440,710.76 : x
  2. Step 2: Convert to fraction form
    712,729.82/983,194.32 = 440,710.76/x
  3. Step 3: Cross multiply
    712,729.82x = 983,194.32 × 440,710.76
  4. Step 4: Simplify right side
    712,729.82x = 433,304,315,994.88
  5. Step 5: Solve for x
    x = 433,304,315,994.88/712,729.82
  6. Step 6: Final answer
    x = 607,950.31

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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.