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Finding the Fourth Proportional to 411,152.80, 616,268.40 and 174,455.20

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Solution

The fourth proportional to 411,152.80, 616,268.40 and 174,455.20 is: 261,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,152.80 : 616,268.40 = 174,455.20 : x
  2. Step 2: Convert to fraction form
    411,152.80/616,268.40 = 174,455.20/x
  3. Step 3: Cross multiply
    411,152.80x = 616,268.40 × 174,455.20
  4. Step 4: Simplify right side
    411,152.80x = 107,511,226,975.68
  5. Step 5: Solve for x
    x = 107,511,226,975.68/411,152.80
  6. Step 6: Final answer
    x = 261,487.28

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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.