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Finding the Fourth Proportional to 710,108.85, 979,974.40 and 419,969.13

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Solution

The fourth proportional to 710,108.85, 979,974.40 and 419,969.13 is: 579,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,108.85 : 979,974.40 = 419,969.13 : x
  2. Step 2: Convert to fraction form
    710,108.85/979,974.40 = 419,969.13/x
  3. Step 3: Cross multiply
    710,108.85x = 979,974.40 × 419,969.13
  4. Step 4: Simplify right side
    710,108.85x = 411,558,996,190.27
  5. Step 5: Solve for x
    x = 411,558,996,190.27/710,108.85
  6. Step 6: Final answer
    x = 579,571.70

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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.