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Finding the Fourth Proportional to 415,218.15, 622,827.23 and 134,735.40

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Solution

The fourth proportional to 415,218.15, 622,827.23 and 134,735.40 is: 202,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218.15 : 622,827.23 = 134,735.40 : x
  2. Step 2: Convert to fraction form
    415,218.15/622,827.23 = 134,735.40/x
  3. Step 3: Cross multiply
    415,218.15x = 622,827.23 × 134,735.40
  4. Step 4: Simplify right side
    415,218.15x = 83,916,875,291.27
  5. Step 5: Solve for x
    x = 83,916,875,291.27/415,218.15
  6. Step 6: Final answer
    x = 202,103.10

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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.