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Finding the Fourth Proportional to 343,528.80, 515,331.60 and 106,869.60

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Solution

The fourth proportional to 343,528.80, 515,331.60 and 106,869.60 is: 160,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,528.80 : 515,331.60 = 106,869.60 : x
  2. Step 2: Convert to fraction form
    343,528.80/515,331.60 = 106,869.60/x
  3. Step 3: Cross multiply
    343,528.80x = 515,331.60 × 106,869.60
  4. Step 4: Simplify right side
    343,528.80x = 55,073,281,959.36
  5. Step 5: Solve for x
    x = 55,073,281,959.36/343,528.80
  6. Step 6: Final answer
    x = 160,316.35

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Why These Related Problems?

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