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Finding the Fourth Proportional to 422,713.80, 634,157.10 and 142,259.40

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Solution

The fourth proportional to 422,713.80, 634,157.10 and 142,259.40 is: 213,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,713.80 : 634,157.10 = 142,259.40 : x
  2. Step 2: Convert to fraction form
    422,713.80/634,157.10 = 142,259.40/x
  3. Step 3: Cross multiply
    422,713.80x = 634,157.10 × 142,259.40
  4. Step 4: Simplify right side
    422,713.80x = 90,214,808,551.74
  5. Step 5: Solve for x
    x = 90,214,808,551.74/422,713.80
  6. Step 6: Final answer
    x = 213,418.18

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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.