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Finding the Fourth Proportional to 438,221.40, 657,137.70 and 201,636.60

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Solution

The fourth proportional to 438,221.40, 657,137.70 and 201,636.60 is: 302,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,221.40 : 657,137.70 = 201,636.60 : x
  2. Step 2: Convert to fraction form
    438,221.40/657,137.70 = 201,636.60/x
  3. Step 3: Cross multiply
    438,221.40x = 657,137.70 × 201,636.60
  4. Step 4: Simplify right side
    438,221.40x = 132,503,011,559.82
  5. Step 5: Solve for x
    x = 132,503,011,559.82/438,221.40
  6. Step 6: Final answer
    x = 302,365.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.