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Finding the Fourth Proportional to 411,300.60, 617,145.30 and 174,845.40

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Solution

The fourth proportional to 411,300.60, 617,145.30 and 174,845.40 is: 262,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,300.60 : 617,145.30 = 174,845.40 : x
  2. Step 2: Convert to fraction form
    411,300.60/617,145.30 = 174,845.40/x
  3. Step 3: Cross multiply
    411,300.60x = 617,145.30 × 174,845.40
  4. Step 4: Simplify right side
    411,300.60x = 107,905,016,836.62
  5. Step 5: Solve for x
    x = 107,905,016,836.62/411,300.60
  6. Step 6: Final answer
    x = 262,350.74

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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.