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Finding the Fourth Proportional to 782,715.71, 1,080,665.82 and 601,101.77

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Solution

The fourth proportional to 782,715.71, 1,080,665.82 and 601,101.77 is: 829,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,715.71 : 1,080,665.82 = 601,101.77 : x
  2. Step 2: Convert to fraction form
    782,715.71/1,080,665.82 = 601,101.77/x
  3. Step 3: Cross multiply
    782,715.71x = 1,080,665.82 × 601,101.77
  4. Step 4: Simplify right side
    782,715.71x = 649,590,131,777.17
  5. Step 5: Solve for x
    x = 649,590,131,777.17/782,715.71
  6. Step 6: Final answer
    x = 829,918.35

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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.