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Finding the Fourth Proportional to 360,090, 496,924.20 and 201,114

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Solution

The fourth proportional to 360,090, 496,924.20 and 201,114 is: 277,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,090 : 496,924.20 = 201,114 : x
  2. Step 2: Convert to fraction form
    360,090/496,924.20 = 201,114/x
  3. Step 3: Cross multiply
    360,090x = 496,924.20 × 201,114
  4. Step 4: Simplify right side
    360,090x = 99,938,413,558.80
  5. Step 5: Solve for x
    x = 99,938,413,558.80/360,090
  6. Step 6: Final answer
    x = 277,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.