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Finding the Fourth Proportional to 946,578.60, 1,306,331.64 and 516,898.80

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Solution

The fourth proportional to 946,578.60, 1,306,331.64 and 516,898.80 is: 713,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,578.60 : 1,306,331.64 = 516,898.80 : x
  2. Step 2: Convert to fraction form
    946,578.60/1,306,331.64 = 516,898.80/x
  3. Step 3: Cross multiply
    946,578.60x = 1,306,331.64 × 516,898.80
  4. Step 4: Simplify right side
    946,578.60x = 675,241,257,118.03
  5. Step 5: Solve for x
    x = 675,241,257,118.03/946,578.60
  6. Step 6: Final answer
    x = 713,349.38

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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.