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Finding the Fourth Proportional to 410,765.80, 616,062.30 and 174,116.20

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Solution

The fourth proportional to 410,765.80, 616,062.30 and 174,116.20 is: 261,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,765.80 : 616,062.30 = 174,116.20 : x
  2. Step 2: Convert to fraction form
    410,765.80/616,062.30 = 174,116.20/x
  3. Step 3: Cross multiply
    410,765.80x = 616,062.30 × 174,116.20
  4. Step 4: Simplify right side
    410,765.80x = 107,266,426,639.26
  5. Step 5: Solve for x
    x = 107,266,426,639.26/410,765.80
  6. Step 6: Final answer
    x = 261,137.68

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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.