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Finding the Fourth Proportional to 712,218.79, 982,859.31 and 406,294.63

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Solution

The fourth proportional to 712,218.79, 982,859.31 and 406,294.63 is: 560,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,218.79 : 982,859.31 = 406,294.63 : x
  2. Step 2: Convert to fraction form
    712,218.79/982,859.31 = 406,294.63/x
  3. Step 3: Cross multiply
    712,218.79x = 982,859.31 × 406,294.63
  4. Step 4: Simplify right side
    712,218.79x = 399,330,457,241.36
  5. Step 5: Solve for x
    x = 399,330,457,241.36/712,218.79
  6. Step 6: Final answer
    x = 560,685.09

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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.