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Finding the Fourth Proportional to 712,516.74, 983,029.17 and 406,373.10

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Solution

The fourth proportional to 712,516.74, 983,029.17 and 406,373.10 is: 560,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,516.74 : 983,029.17 = 406,373.10 : x
  2. Step 2: Convert to fraction form
    712,516.74/983,029.17 = 406,373.10/x
  3. Step 3: Cross multiply
    712,516.74x = 983,029.17 × 406,373.10
  4. Step 4: Simplify right side
    712,516.74x = 399,476,611,203.33
  5. Step 5: Solve for x
    x = 399,476,611,203.33/712,516.74
  6. Step 6: Final answer
    x = 560,655.76

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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.