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Finding the Fourth Proportional to 946,817, 1,306,617.70 and 517,109.48

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Solution

The fourth proportional to 946,817, 1,306,617.70 and 517,109.48 is: 713,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,817 : 1,306,617.70 = 517,109.48 : x
  2. Step 2: Convert to fraction form
    946,817/1,306,617.70 = 517,109.48/x
  3. Step 3: Cross multiply
    946,817x = 1,306,617.70 × 517,109.48
  4. Step 4: Simplify right side
    946,817x = 675,664,399,405.80
  5. Step 5: Solve for x
    x = 675,664,399,405.80/946,817
  6. Step 6: Final answer
    x = 713,616.68

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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.