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Finding the Fourth Proportional to 517,583.73, 714,100.68 and 291,185.49

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Solution

The fourth proportional to 517,583.73, 714,100.68 and 291,185.49 is: 401,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,583.73 : 714,100.68 = 291,185.49 : x
  2. Step 2: Convert to fraction form
    517,583.73/714,100.68 = 291,185.49/x
  3. Step 3: Cross multiply
    517,583.73x = 714,100.68 × 291,185.49
  4. Step 4: Simplify right side
    517,583.73x = 207,935,756,415.13
  5. Step 5: Solve for x
    x = 207,935,756,415.13/517,583.73
  6. Step 6: Final answer
    x = 401,743.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.