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Finding the Fourth Proportional to 406,684.28, 610,107.96 and 140,454.56

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Solution

The fourth proportional to 406,684.28, 610,107.96 and 140,454.56 is: 210,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,684.28 : 610,107.96 = 140,454.56 : x
  2. Step 2: Convert to fraction form
    406,684.28/610,107.96 = 140,454.56/x
  3. Step 3: Cross multiply
    406,684.28x = 610,107.96 × 140,454.56
  4. Step 4: Simplify right side
    406,684.28x = 85,692,445,074.30
  5. Step 5: Solve for x
    x = 85,692,445,074.30/406,684.28
  6. Step 6: Final answer
    x = 210,710.00

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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.