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Finding the Fourth Proportional to 438,627.90, 657,843.44 and 201,743.00

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Solution

The fourth proportional to 438,627.90, 657,843.44 and 201,743.00 is: 302,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,627.90 : 657,843.44 = 201,743.00 : x
  2. Step 2: Convert to fraction form
    438,627.90/657,843.44 = 201,743.00/x
  3. Step 3: Cross multiply
    438,627.90x = 657,843.44 × 201,743.00
  4. Step 4: Simplify right side
    438,627.90x = 132,715,304,817.99
  5. Step 5: Solve for x
    x = 132,715,304,817.99/438,627.90
  6. Step 6: Final answer
    x = 302,569.23

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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.