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Finding the Fourth Proportional to 365,146.38, 546,975.99 and 297,918

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Solution

The fourth proportional to 365,146.38, 546,975.99 and 297,918 is: 446,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,146.38 : 546,975.99 = 297,918 : x
  2. Step 2: Convert to fraction form
    365,146.38/546,975.99 = 297,918/x
  3. Step 3: Cross multiply
    365,146.38x = 546,975.99 × 297,918
  4. Step 4: Simplify right side
    365,146.38x = 162,953,992,988.82
  5. Step 5: Solve for x
    x = 162,953,992,988.82/365,146.38
  6. Step 6: Final answer
    x = 446,270.32

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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.