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Finding the Fourth Proportional to 411,276.80, 616,454.40 and 174,579.20

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Solution

The fourth proportional to 411,276.80, 616,454.40 and 174,579.20 is: 261,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,276.80 : 616,454.40 = 174,579.20 : x
  2. Step 2: Convert to fraction form
    411,276.80/616,454.40 = 174,579.20/x
  3. Step 3: Cross multiply
    411,276.80x = 616,454.40 × 174,579.20
  4. Step 4: Simplify right side
    411,276.80x = 107,620,115,988.48
  5. Step 5: Solve for x
    x = 107,620,115,988.48/411,276.80
  6. Step 6: Final answer
    x = 261,673.20

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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.