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Finding the Fourth Proportional to 415,475.80, 623,213.70 and 135,021.40

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Solution

The fourth proportional to 415,475.80, 623,213.70 and 135,021.40 is: 202,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,475.80 : 623,213.70 = 135,021.40 : x
  2. Step 2: Convert to fraction form
    415,475.80/623,213.70 = 135,021.40/x
  3. Step 3: Cross multiply
    415,475.80x = 623,213.70 × 135,021.40
  4. Step 4: Simplify right side
    415,475.80x = 84,147,186,273.18
  5. Step 5: Solve for x
    x = 84,147,186,273.18/415,475.80
  6. Step 6: Final answer
    x = 202,532.10

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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.