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Finding the Fourth Proportional to 422,047.77, 633,071.66 and 141,564.21

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Solution

The fourth proportional to 422,047.77, 633,071.66 and 141,564.21 is: 212,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,047.77 : 633,071.66 = 141,564.21 : x
  2. Step 2: Convert to fraction form
    422,047.77/633,071.66 = 141,564.21/x
  3. Step 3: Cross multiply
    422,047.77x = 633,071.66 × 141,564.21
  4. Step 4: Simplify right side
    422,047.77x = 89,620,288,713.47
  5. Step 5: Solve for x
    x = 89,620,288,713.47/422,047.77
  6. Step 6: Final answer
    x = 212,346.32

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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.