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Finding the Fourth Proportional to 643,559.40, 965,339.10 and 406,132.20

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Solution

The fourth proportional to 643,559.40, 965,339.10 and 406,132.20 is: 609,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,559.40 : 965,339.10 = 406,132.20 : x
  2. Step 2: Convert to fraction form
    643,559.40/965,339.10 = 406,132.20/x
  3. Step 3: Cross multiply
    643,559.40x = 965,339.10 × 406,132.20
  4. Step 4: Simplify right side
    643,559.40x = 392,055,292,429.02
  5. Step 5: Solve for x
    x = 392,055,292,429.02/643,559.40
  6. Step 6: Final answer
    x = 609,198.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.