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Finding the Fourth Proportional to 712,099.61, 982,672.83 and 406,275

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Solution

The fourth proportional to 712,099.61, 982,672.83 and 406,275 is: 560,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,099.61 : 982,672.83 = 406,275 : x
  2. Step 2: Convert to fraction form
    712,099.61/982,672.83 = 406,275/x
  3. Step 3: Cross multiply
    712,099.61x = 982,672.83 × 406,275
  4. Step 4: Simplify right side
    712,099.61x = 399,235,404,008.25
  5. Step 5: Solve for x
    x = 399,235,404,008.25/712,099.61
  6. Step 6: Final answer
    x = 560,645.45

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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.