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Finding the Fourth Proportional to 411,019.80, 616,068.90 and 174,322.20

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Solution

The fourth proportional to 411,019.80, 616,068.90 and 174,322.20 is: 261,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,019.80 : 616,068.90 = 174,322.20 : x
  2. Step 2: Convert to fraction form
    411,019.80/616,068.90 = 174,322.20/x
  3. Step 3: Cross multiply
    411,019.80x = 616,068.90 × 174,322.20
  4. Step 4: Simplify right side
    411,019.80x = 107,394,485,999.58
  5. Step 5: Solve for x
    x = 107,394,485,999.58/411,019.80
  6. Step 6: Final answer
    x = 261,287.86

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1.5x scale

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.