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Finding the Fourth Proportional to 564,107.80, 846,078.60 and 185,068.60

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Solution

The fourth proportional to 564,107.80, 846,078.60 and 185,068.60 is: 277,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,107.80 : 846,078.60 = 185,068.60 : x
  2. Step 2: Convert to fraction form
    564,107.80/846,078.60 = 185,068.60/x
  3. Step 3: Cross multiply
    564,107.80x = 846,078.60 × 185,068.60
  4. Step 4: Simplify right side
    564,107.80x = 156,582,581,991.96
  5. Step 5: Solve for x
    x = 156,582,581,991.96/564,107.80
  6. Step 6: Final answer
    x = 277,575.64

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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.