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Finding the Fourth Proportional to 415,020.70, 571,522.60 and 360,548.00

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Solution

The fourth proportional to 415,020.70, 571,522.60 and 360,548.00 is: 496,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.70 : 571,522.60 = 360,548.00 : x
  2. Step 2: Convert to fraction form
    415,020.70/571,522.60 = 360,548.00/x
  3. Step 3: Cross multiply
    415,020.70x = 571,522.60 × 360,548.00
  4. Step 4: Simplify right side
    415,020.70x = 206,061,330,121.08
  5. Step 5: Solve for x
    x = 206,061,330,121.08/415,020.70
  6. Step 6: Final answer
    x = 496,508.56

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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.