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Finding the Fourth Proportional to 438,302.40, 657,259.20 and 201,523.20

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Solution

The fourth proportional to 438,302.40, 657,259.20 and 201,523.20 is: 302,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,302.40 : 657,259.20 = 201,523.20 : x
  2. Step 2: Convert to fraction form
    438,302.40/657,259.20 = 201,523.20/x
  3. Step 3: Cross multiply
    438,302.40x = 657,259.20 × 201,523.20
  4. Step 4: Simplify right side
    438,302.40x = 132,452,977,213.44
  5. Step 5: Solve for x
    x = 132,452,977,213.44/438,302.40
  6. Step 6: Final answer
    x = 302,195.42

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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.