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Finding the Fourth Proportional to 465,888.56, 699,180 and 346,221.20

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Solution

The fourth proportional to 465,888.56, 699,180 and 346,221.20 is: 519,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,888.56 : 699,180 = 346,221.20 : x
  2. Step 2: Convert to fraction form
    465,888.56/699,180 = 346,221.20/x
  3. Step 3: Cross multiply
    465,888.56x = 699,180 × 346,221.20
  4. Step 4: Simplify right side
    465,888.56x = 242,070,938,616
  5. Step 5: Solve for x
    x = 242,070,938,616/465,888.56
  6. Step 6: Final answer
    x = 519,589.79

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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.