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Finding the Fourth Proportional to 292,034.90, 438,455.76 and 201,855.48

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Solution

The fourth proportional to 292,034.90, 438,455.76 and 201,855.48 is: 303,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,034.90 : 438,455.76 = 201,855.48 : x
  2. Step 2: Convert to fraction form
    292,034.90/438,455.76 = 201,855.48/x
  3. Step 3: Cross multiply
    292,034.90x = 438,455.76 × 201,855.48
  4. Step 4: Simplify right side
    292,034.90x = 88,504,697,893.56
  5. Step 5: Solve for x
    x = 88,504,697,893.56/292,034.90
  6. Step 6: Final answer
    x = 303,062.06

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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.